432 lines
		
	
	
		
			3.2 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
		
		
			
		
	
	
			432 lines
		
	
	
		
			3.2 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
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								PART 1:
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								Matrix m1:
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								 0:  0
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								 1:  1
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								 2:  2  3
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								 3:  3
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								 4:  4
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								 5:  5
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								 6:  6
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								 7:  7
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								 8:  8
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								 9:  9
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								10: 10 38
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								11: 11
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								12: 12
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								13: 13
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								14: 14
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								15: 15
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								16: 16
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								17: 17
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								18: 18
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								19: 19
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								20: 20
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								21: 21
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								22: 22
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								23: 23
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								24: 24
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								25: 25
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								26: 26
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								27: 27
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								28: 28
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								29: 29
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								30: 30
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								31: 31
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								32: 32
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								33: 33
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								34:  4 34
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								Matrix m2, as read from file.  Should be same as m1 above.
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								 0:  0
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								 1:  1
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								 2:  2  3
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								 3:  3
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								 4:  4
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								 5:  5
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								 6:  6
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								 7:  7
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								 8:  8
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								 9:  9
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								10: 10 38
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								11: 11
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								12: 12
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								13: 13
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								14: 14
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								15: 15
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								16: 16
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								17: 17
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								18: 18
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								19: 19
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								20: 20
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								21: 21
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								22: 22
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								23: 23
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								24: 24
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								25: 25
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								26: 26
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								27: 27
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								28: 28
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								29: 29
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								30: 30
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								31: 31
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								32: 32
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								33: 33
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								34:  4 34
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								Test of equality of m1 & m2 (should be 1): 1
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								Matrix m3, copied from m1 above.
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								 0:  0
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								 1:  1
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								 2:  2  3
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								 3:  3
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								 4:  4
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								 5:  5
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								 6:  6
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								 7:  7
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								 8:  8
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								 9:  9
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								10: 10 38
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								11: 11
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								12: 12
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								13: 13
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								14: 14
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								15: 15
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								16: 16
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								17: 17
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								18: 18
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								19: 19
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								20: 20
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								21: 21
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								22: 22
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								23: 23
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								24: 24
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								25: 25
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								26: 26
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								27: 27
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								28: 28
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								29: 29
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								30: 30
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								31: 31
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								32: 32
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								33: 33
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								34:  4 34
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								 | 
							
								
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								Test of equality of m1 & m3 (should be 1): 1
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								Matrix m3 again, should now be all zeros.
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								 0:
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								 1:
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								 2:
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								 3:
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								 4:
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								 5:
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								 6:
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								 7:
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								 8:
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								 9:
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								10:
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								11:
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								12:
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								13:
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								14:
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								15:
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								16:
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								17:
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								18:
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								19:
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								20:
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								21:
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								22:
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								 | 
							
								23:
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								24:
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								 | 
							
								25:
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								26:
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								27:
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								28:
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								29:
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								30:
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								31:
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								32:
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								33:
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								34:
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								 | 
							
								
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								 | 
							
								Test of equality of m1 & m3 (should be 0): 0
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								PART 2:
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								 | 
							
								
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								Transpose of m1.
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								 0:  0
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								 1:  1
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								 2:  2
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								 3:  2  3
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								 4:  4 34
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								 5:  5
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								 6:  6
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								 | 
							
								 7:  7
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								 | 
							
								 8:  8
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								 | 
							
								 9:  9
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								 | 
							
								10: 10
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								 | 
							
								11: 11
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								 | 
							
								12: 12
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								 | 
							
								13: 13
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								 | 
							
								14: 14
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								 | 
							
								15: 15
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								 | 
							
								16: 16
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								 | 
							
								17: 17
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								 | 
							
								18: 18
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								 | 
							
								19: 19
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								 | 
							
								20: 20
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								 | 
							
								21: 21
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								 | 
							
								22: 22
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								 | 
							
								23: 23
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								 | 
							
								24: 24
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								 | 
							
								25: 25
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								 | 
							
								26: 26
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								 | 
							
								27: 27
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								 | 
							
								28: 28
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								 | 
							
								29: 29
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								30: 30
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								31: 31
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								32: 32
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								33: 33
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								34: 34
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								35:
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								36:
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								37:
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								38: 10
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								39:
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								 | 
							
								
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								Matrix m1 after adding rows 2 and 12 and 3 to 10.
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								 0:  0
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								 1:  1
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								 2:  2  3
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								 3:  3
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								 4:  4
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								 5:  5
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								 6:  6
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								 | 
							
								 7:  7
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								 8:  8
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								 | 
							
								 9:  9
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								10:  2 10 12 38
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								 | 
							
								11: 11
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								 | 
							
								12: 12
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								 | 
							
								13: 13
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								 | 
							
								14: 14
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								 | 
							
								15: 15
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								 | 
							
								16: 16
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								 | 
							
								17: 17
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								 | 
							
								18: 18
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								 | 
							
								19: 19
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								 | 
							
								20: 20
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								 | 
							
								21: 21
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								 | 
							
								22: 22
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								 | 
							
								23: 23
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								 | 
							
								24: 24
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								 | 
							
								25: 25
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								 | 
							
								26: 26
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								 | 
							
								27: 27
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								 | 
							
								28: 28
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								 | 
							
								29: 29
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								 | 
							
								30: 30
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								 | 
							
								31: 31
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								 | 
							
								32: 32
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								 | 
							
								33: 33
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								 | 
							
								34:  4 34
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								 | 
							
								
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								Matrix m1 after further adding column 34 to 0.
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								 | 
							
								
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								 | 
							
								 0:  0
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								 | 
							
								 1:  1
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								 | 
							
								 2:  2  3
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								 | 
							
								 3:  3
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								 | 
							
								 4:  4
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								 | 
							
								 5:  5
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								 | 
							
								 6:  6
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								 | 
							
								 7:  7
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								 | 
							
								 8:  8
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								 | 
							
								 9:  9
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								 | 
							
								10:  2 10 12 38
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								 | 
							
								11: 11
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								 | 
							
								12: 12
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								 | 
							
								13: 13
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								 | 
							
								14: 14
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								 | 
							
								15: 15
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								 | 
							
								16: 16
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								 | 
							
								17: 17
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								 | 
							
								18: 18
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								 | 
							
								19: 19
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								 | 
							
								20: 20
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								 | 
							
								21: 21
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								 | 
							
								22: 22
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								 | 
							
								23: 23
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								 | 
							
								24: 24
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								 | 
							
								25: 25
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								 | 
							
								26: 26
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								 | 
							
								27: 27
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								 | 
							
								28: 28
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								 | 
							
								29: 29
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								 | 
							
								30: 30
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								 | 
							
								31: 31
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								 | 
							
								32: 32
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								 | 
							
								33: 33
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								 | 
							
								34:  0  4 34
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								 | 
							
								
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								 | 
							
								
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								 | 
							
								PART 3:
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								 | 
							
								
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								 | 
							
								Matrix s0.
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								 | 
							
								
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								 | 
							
								0:
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								 | 
							
								1: 3 4
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								 | 
							
								2: 0
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								 | 
							
								3: 1
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								 | 
							
								4:
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								 | 
							
								
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								 | 
							
								Matrix s1.
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								 | 
							
								
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								 | 
							
								0:
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								 | 
							
								1: 3 5
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								 | 
							
								2:
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								 | 
							
								3: 0 1 6
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								 | 
							
								4:
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								 | 
							
								
							 | 
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								 | 
							
								Matrix s2.
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								0: 0
							 | 
						||
| 
								 | 
							
								1: 1
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						||
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								 | 
							
								2:
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| 
								 | 
							
								3:
							 | 
						||
| 
								 | 
							
								4:
							 | 
						||
| 
								 | 
							
								5: 1 2 3
							 | 
						||
| 
								 | 
							
								6:
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Maxtrix s1 times unpacked vector ( 1 0 0 1 0 1 0 ).
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								( 0 0 0 1 0 )
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Sum of s0 and s1.
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								0:
							 | 
						||
| 
								 | 
							
								1: 4 5
							 | 
						||
| 
								 | 
							
								2: 0
							 | 
						||
| 
								 | 
							
								3: 0 6
							 | 
						||
| 
								 | 
							
								4:
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Product of s1 and s2.
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								0:
							 | 
						||
| 
								 | 
							
								1: 1 2 3
							 | 
						||
| 
								 | 
							
								2:
							 | 
						||
| 
								 | 
							
								3: 0 1
							 | 
						||
| 
								 | 
							
								4:
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Tried to find (1,2), actually found: (1,2)
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Above matrix with (1,2) cleared.
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								0:
							 | 
						||
| 
								 | 
							
								1: 1 3
							 | 
						||
| 
								 | 
							
								2:
							 | 
						||
| 
								 | 
							
								3: 0 1
							 | 
						||
| 
								 | 
							
								4:
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Tried to find (1,1), actually found: (1,1)
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Matrix with (1,1) cleared as well.
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								0:
							 | 
						||
| 
								 | 
							
								1: 3
							 | 
						||
| 
								 | 
							
								2:
							 | 
						||
| 
								 | 
							
								3: 0 1
							 | 
						||
| 
								 | 
							
								4:
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								PART 4:
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Matrix s1.
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								0: 3 5
							 | 
						||
| 
								 | 
							
								1: 1 6
							 | 
						||
| 
								 | 
							
								2: 0
							 | 
						||
| 
								 | 
							
								3: 1 2
							 | 
						||
| 
								 | 
							
								4: 0 2
							 | 
						||
| 
								 | 
							
								5: 6
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								LU decomposition (returned value was 0).
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								L=
							 | 
						||
| 
								 | 
							
								0: 3
							 | 
						||
| 
								 | 
							
								1: 1
							 | 
						||
| 
								 | 
							
								2: 0
							 | 
						||
| 
								 | 
							
								3: 1 2
							 | 
						||
| 
								 | 
							
								4: 0 2 4
							 | 
						||
| 
								 | 
							
								5:
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								U=
							 | 
						||
| 
								 | 
							
								0: 0
							 | 
						||
| 
								 | 
							
								1: 1 6
							 | 
						||
| 
								 | 
							
								2: 2 6
							 | 
						||
| 
								 | 
							
								3: 3
							 | 
						||
| 
								 | 
							
								4: 6
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								cols: 0 1 2 3 6 5 4
							 | 
						||
| 
								 | 
							
								rows: 2 1 3 0 4 5
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Product of L and U.
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								0: 3
							 | 
						||
| 
								 | 
							
								1: 1 6
							 | 
						||
| 
								 | 
							
								2: 0
							 | 
						||
| 
								 | 
							
								3: 1 2
							 | 
						||
| 
								 | 
							
								4: 0 2
							 | 
						||
| 
								 | 
							
								5:
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Solution of Ly=x with x from ( 0 1 1 0 1 0 ) according to rows selected.
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								 1 1 1 0 1
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Returned value from forward_sub was 1
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Solution of Uz=y.
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								 1 0 0 0 0 0 1
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Returned value from backward_sub was 1
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								PART 5:
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Matrix m1:
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								0: 3
							 | 
						||
| 
								 | 
							
								1: 1
							 | 
						||
| 
								 | 
							
								2: 2
							 | 
						||
| 
								 | 
							
								3: 0
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Matrix m2, copyrows of m1 in order 3,1,2,0 (should be identity)
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								0: 0
							 | 
						||
| 
								 | 
							
								1: 1
							 | 
						||
| 
								 | 
							
								2: 2
							 | 
						||
| 
								 | 
							
								3: 3
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Matrix m3, copycols of m1 in order 3,1,2,0 (should be identity)
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								0: 0
							 | 
						||
| 
								 | 
							
								1: 1
							 | 
						||
| 
								 | 
							
								2: 2
							 | 
						||
| 
								 | 
							
								3: 3
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								DONE WITH TESTS.
							 |