Answer: In Exercises 4146, find, if possible, (a) AB, (b) BA, and (c) A2. (Note: A2 =

Chapter 8, Problem 43

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Operations with Matrices In Exercises 41-46, find, if possible, (a) AB, (b) BA, and (c) \(A^{2}\). Note: \(A^{2}=A A\). Use the matrix capabilities of a graphing utility to verify your results.

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

Text Transcription:

A^2

A^2 = AA

A = [ _1  3  ^3  -1],  B = [ _3  1  ^1  -3]

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