Construct a random integer-valued 4 x 4 matrix a and verify


Question: Construct a random integer-valued 4 X 4 matrix A, and verify that A and AT have the same characteristic polynomial (the same eigenvalues with the same multiplicities). Do A and AT have the same eigenvectors? Make the same analysis of a 5 X 5 matrix. Report the matrices and your conclusions.

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Mathematics: Construct a random integer-valued 4 x 4 matrix a and verify
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