In Exercises 3942, find (a) A, (b) B, (c) AB, and (d) AB. What do you notice about

Chapter 8, Problem 41

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The Determinant of a Matrix Product In Exercises 39-42, find (a) |A|, (b) |B|, (c) AB, and (d) |AB|. What do you notice about |AB|?

\(A=\left[\begin{array}{rrr}3&2&0\\ -1&-3&4\\ -2&0&1\end{array}\right],\quad\ B=\left[\begin{array}{rrr}-3&0&1\\ 0&2&-1\\ -2&-1&1\end{array}\right]\)

Text Transcription:

A = [_-2  0  1  ^-1  -3  4  ^^3  2  0],  B = [_-2  -1  1  ^0  2  -1  ^^-3  0  1]

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