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

Chapter 8, Problem 40

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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|?

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

Text Transcription:

A = [_3  -2  ^4  0],  B = [_-2  2  ^-1  1]

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