Suppose you are given a square matrix A and you compute its determinant and get det A = 7. Your friend is given the inverse of A and they compute the determinant of that inverse matrix and get a value of 1. Is it possible that you both computed your determinants correctly? Explain why/why not.

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Suppose you are given a square matrix A and you compute its determinant and get det A = 7.
Your friend is given the inverse of A and they compute the determinant of that inverse matrix
and get a value of 1. Is it possible that you both computed your determinants correctly? Explain
why/why not.
Transcribed Image Text:Suppose you are given a square matrix A and you compute its determinant and get det A = 7. Your friend is given the inverse of A and they compute the determinant of that inverse matrix and get a value of 1. Is it possible that you both computed your determinants correctly? Explain why/why not.
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