The Determinant of a Matrix Product In Exercises 16, find (a) A, (b) B, (c) AB, and (d)

Chapter 3, Problem 3

(choose chapter or problem)

In Exercises 1–6, find (a) |A|, (b) |B|, (c) |AB|, and (d) |AB|. Then verify that |A| |B| = |AB|.

\(A=\left[\begin{array}{rrr}

-1 & 2 & 1 \\

1 & 0 & 1 \\

0 & 1 & 0

\end{array}\right], \quad B=\left[\begin{array}{rrr}

-1 & 0 & 0 \\

0 & 2 & 0 \\

0 & 0 & 3

\end{array}\right]\)

Text Transcription:

A=[-1  2  1

1  0  1

0  1  0],

B=[-1  0  0

0  2  0

0  0  3]

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