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s3, the inverse of s1 (return code 1). 0 0 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 Original matrix times inverse (should be identity). 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 Inverse times original matrix (should be identity). 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 Inverse of inverse (should be same as original s1). 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 Test of equality with original (should be 1): 1 Matrix s1. 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 Matrix s3, from invert_selected applied to s1 (return code 0). 0 0 0 0 1 0 0 1 0 1 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 row ordering returned: 0 1 2 3 4 column ordering returned: 4 1 0 2 6 5 3 Columns extracted in order from original matrix. 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 0 1 0 0 0 1 1 0 Inverse of above calculated using mod2dense_inverse (return code 1) 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 1 Columns extracted in order from s3 (should also be inverse of above). 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 1 Matrix s1. 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 Matrix s3, from invert_selected applied to s1 (return code 2). 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 row ordering returned: 0 1 3 4 2 column ordering returned: 0 1 3 2 4 5 6 Matrix s4, from copying rows in order from s3. 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 PART 5: Matrix s1. 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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