Question: If det A is close to zero, is the matrix A nearly singular? Experiment with the nearly singular 4 x 4 matrix Compute the determinants

If det A is close to zero, is the matrix A nearly singular? Experiment with the nearly singular 4 x 4 matrix

A = 4 -6 7 -1 0 1 -5 2 -7 11 Compute the determinants of A, 10A, and 0.1A. In contrast, compute the condition numbers of these matrices. Repeat these calculations when A is the 4 x 4 identity matrix. Discuss your results.

A = 4 -6 7 -1 0 1 -5 2 -7 11 10 3 -7 9 19 -1

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