-5 If A = -2 3 and B = -4 then 2 -6 -4 44 -66 AB = help (matrices) -40 60 and 88 ВА %3 help (matrices) Choose True or False: AB = BA for any two square matrices A and B of the same size.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If \( A = \begin{bmatrix} -5 & 3 \\ -2 & -6 \end{bmatrix} \) and \( B = \begin{bmatrix} -4 & 6 \\ -4 & 2 \end{bmatrix} \), then

\[ AB = \begin{bmatrix} 44 & -66 \\ -40 & 60 \end{bmatrix} \]

help (matrices)

and

\[ BA = \begin{bmatrix} \quad & \quad \\ \quad & \quad \end{bmatrix} \]

help (matrices)

Choose True or False: \( AB = BA \) for any two square matrices \( A \) and \( B \) of the same size.
Transcribed Image Text:If \( A = \begin{bmatrix} -5 & 3 \\ -2 & -6 \end{bmatrix} \) and \( B = \begin{bmatrix} -4 & 6 \\ -4 & 2 \end{bmatrix} \), then \[ AB = \begin{bmatrix} 44 & -66 \\ -40 & 60 \end{bmatrix} \] help (matrices) and \[ BA = \begin{bmatrix} \quad & \quad \\ \quad & \quad \end{bmatrix} \] help (matrices) Choose True or False: \( AB = BA \) for any two square matrices \( A \) and \( B \) of the same size.
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