-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.
-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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Question
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31330aa5-a64b-4d2f-80e6-6ea74abb2a34%2F85c805df-6846-484e-80b1-4d63e7f3f9c8%2Fhgrc98t_processed.png&w=3840&q=75)
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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