Question: Let A be a 5 5 nonsymmetric matrix with rank equal to 3, let B = ATA, and let C = eB. (a) What,

Let A be a 5 × 5 nonsymmetric matrix with rank equal to 3, let B = ATA, and let C = eB.
(a) What, if anything, can you conclude about the nature of the eigenvalues of B? Explain. What words best describe the type of matrix that B is?
(b) What, if anything, can you conclude about the nature of the eigenvalues of C? Explain. What words best describe the type of matrix that C is?

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