2 2 -2 If A = = -1 0 3 -4 -4 and B -2 0 th 1 -3 3A – 2B and 4AT 24

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
If \( A = \begin{bmatrix} 2 & 2 & -4 \\ -1 & 0 & -4 \\ 3 & -4 & 4 \end{bmatrix} \) and \( B = \begin{bmatrix} 3 & 0 & -2 \\ -2 & 0 & 2 \\ 1 & -3 & 4 \end{bmatrix} \), then

\[ 3A - 2B = \begin{bmatrix} \boxed{} & \boxed{} & \boxed{} \\ \boxed{} & \boxed{} & \boxed{} \\ \boxed{} & \boxed{} & \boxed{} \end{bmatrix} \]

and

\[ 4A^T = \begin{bmatrix} \boxed{} & \boxed{} & \boxed{} \\ \boxed{} & \boxed{} & \boxed{} \\ \boxed{} & \boxed{} & \boxed{} \end{bmatrix} \]
Transcribed Image Text:If \( A = \begin{bmatrix} 2 & 2 & -4 \\ -1 & 0 & -4 \\ 3 & -4 & 4 \end{bmatrix} \) and \( B = \begin{bmatrix} 3 & 0 & -2 \\ -2 & 0 & 2 \\ 1 & -3 & 4 \end{bmatrix} \), then \[ 3A - 2B = \begin{bmatrix} \boxed{} & \boxed{} & \boxed{} \\ \boxed{} & \boxed{} & \boxed{} \\ \boxed{} & \boxed{} & \boxed{} \end{bmatrix} \] and \[ 4A^T = \begin{bmatrix} \boxed{} & \boxed{} & \boxed{} \\ \boxed{} & \boxed{} & \boxed{} \\ \boxed{} & \boxed{} & \boxed{} \end{bmatrix} \]
Expert Solution
Step 1

Given:

A=22-4-10-43-4-4 and B=30-2-2021-34

To find 3A-2B and 4AT

 

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