2. Let A be an $n \times n$ matrix. Show that if $B = S^{-1}AS$ for some nonsingular matrix S, then $det(B) = det(A)$. [5 pts]

          2. Let A be an $n \times n$ matrix.
Show that if $B = S^{-1}AS$ for some nonsingular matrix S,
then $det(B) = det(A)$.
[5 pts]

Alan S. Tussy, R. David Gustafson 5th Edition

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Start with the equation B = S^(-1)AS. Show more…

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Let A be an n x n matrix. Show that if B = S^(-1)AS for some nonsingular matrix S, then det(B) = det(A).

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