-3 9 -6 A = 15 8 В — -2 7 9. 9. 15 -14 -6 30 (1) 4A + B = 58 39 51 22 (2) А — 6B %—
-3 9 -6 A = 15 8 В — -2 7 9. 9. 15 -14 -6 30 (1) 4A + B = 58 39 51 22 (2) А — 6B %—
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
Solve for A-6B please
![### Matrix Operations Example
#### Matrices A and B:
\[ A = \begin{bmatrix} -3 & 9 \\ 15 & 8 \\ 9 & 9 \end{bmatrix}, \quad B = \begin{bmatrix} 6 & -6 \\ -2 & 7 \\ 15 & -14 \end{bmatrix} \]
#### Operations:
1. **Calculate \(4A + B\):**
\[
4A + B = \begin{bmatrix} -6 & 30 \\ 58 & 39 \\ 51 & 22 \end{bmatrix}
\]
Explanation:
- Multiply matrix \(A\) by 4 and add matrix \(B\) to the resulting matrix to get the final outcome shown above.
2. **Calculate \(A - 6B\):**
\[
A - 6B = \begin{bmatrix} \,? & \,? \\ \,? & \,? \\ \,? & \,? \end{bmatrix}
\]
Explanation:
- Subtract six times matrix \(B\) from matrix \(A\). The result is not provided but follows the same principle of matrix subtraction after scalar multiplication.
Make sure to perform matrix operations in accordance with the rules for matrix addition, subtraction, and scalar multiplication.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36a79c17-bf73-44c3-9503-d2f30f855206%2Fa078f494-6327-493b-9700-e82744eb5412%2Fqhu5ztr_processed.png&w=3840&q=75)
Transcribed Image Text:### Matrix Operations Example
#### Matrices A and B:
\[ A = \begin{bmatrix} -3 & 9 \\ 15 & 8 \\ 9 & 9 \end{bmatrix}, \quad B = \begin{bmatrix} 6 & -6 \\ -2 & 7 \\ 15 & -14 \end{bmatrix} \]
#### Operations:
1. **Calculate \(4A + B\):**
\[
4A + B = \begin{bmatrix} -6 & 30 \\ 58 & 39 \\ 51 & 22 \end{bmatrix}
\]
Explanation:
- Multiply matrix \(A\) by 4 and add matrix \(B\) to the resulting matrix to get the final outcome shown above.
2. **Calculate \(A - 6B\):**
\[
A - 6B = \begin{bmatrix} \,? & \,? \\ \,? & \,? \\ \,? & \,? \end{bmatrix}
\]
Explanation:
- Subtract six times matrix \(B\) from matrix \(A\). The result is not provided but follows the same principle of matrix subtraction after scalar multiplication.
Make sure to perform matrix operations in accordance with the rules for matrix addition, subtraction, and scalar multiplication.
Expert Solution
Recall:
Suppose A and B are mxn matrices then A-B is obtain by subtracting corresponding elements of matrix A and B.
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