Let A and B be the following matrices. Perform the following operations: -8A = A - 2B = 5A - 2B = -2 9 4 5 463 63 A = -9 6 -3 -5 -2 -5 -9 3 2 -3 2 B =
Let A and B be the following matrices. Perform the following operations: -8A = A - 2B = 5A - 2B = -2 9 4 5 463 63 A = -9 6 -3 -5 -2 -5 -9 3 2 -3 2 B =
Algebra and Trigonometry (6th Edition)
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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
![**Matrix Operations**
Let \( A \) and \( B \) be the following matrices.
\[
A = \begin{bmatrix}
3 & -2 & 9 \\
-9 & 6 & 6 \\
-5 & -9 & 3
\end{bmatrix}, \quad
B = \begin{bmatrix}
6 & 4 & 5 \\
-3 & -5 & -2 \\
2 & -3 & -9
\end{bmatrix}
\]
Perform the following operations:
1. **Calculate \(-8A\):**
\[
-8A = \begin{bmatrix}
\Box & \Box & \Box \\
\Box & \Box & \Box \\
\Box & \Box & \Box
\end{bmatrix}
\]
2. **Calculate \(A - 2B\):**
\[
A - 2B = \begin{bmatrix}
\Box & \Box & \Box \\
\Box & \Box & \Box \\
\Box & \Box & \Box
\end{bmatrix}
\]
3. **Calculate \(5A - 2B\):**
\[
5A - 2B = \begin{bmatrix}
\Box & \Box & \Box \\
\Box & \Box & \Box \\
\Box & \Box & \Box
\end{bmatrix}
\]
Fill in the boxes with the results of each matrix operation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb898cad9-5347-4e0a-a74d-32f84bfad0f6%2Fd13db7ec-eb22-4597-a49d-a0e2a9ba8bac%2Fe72rrb1_processed.png&w=3840&q=75)
Transcribed Image Text:**Matrix Operations**
Let \( A \) and \( B \) be the following matrices.
\[
A = \begin{bmatrix}
3 & -2 & 9 \\
-9 & 6 & 6 \\
-5 & -9 & 3
\end{bmatrix}, \quad
B = \begin{bmatrix}
6 & 4 & 5 \\
-3 & -5 & -2 \\
2 & -3 & -9
\end{bmatrix}
\]
Perform the following operations:
1. **Calculate \(-8A\):**
\[
-8A = \begin{bmatrix}
\Box & \Box & \Box \\
\Box & \Box & \Box \\
\Box & \Box & \Box
\end{bmatrix}
\]
2. **Calculate \(A - 2B\):**
\[
A - 2B = \begin{bmatrix}
\Box & \Box & \Box \\
\Box & \Box & \Box \\
\Box & \Box & \Box
\end{bmatrix}
\]
3. **Calculate \(5A - 2B\):**
\[
5A - 2B = \begin{bmatrix}
\Box & \Box & \Box \\
\Box & \Box & \Box \\
\Box & \Box & \Box
\end{bmatrix}
\]
Fill in the boxes with the results of each matrix operation.
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