1. Solve matrix equation A· X = B using the methods of your choice. Clearly mark the answers. Question a. 1 -1 1 A = -1 1 В — -1 3 1 Question b. 1 2 1 A = 1 1 В — 1 2 Question c. 1 0 1 1 A = 0 1 1 В 1 1 0
1. Solve matrix equation A· X = B using the methods of your choice. Clearly mark the answers. Question a. 1 -1 1 A = -1 1 В — -1 3 1 Question b. 1 2 1 A = 1 1 В — 1 2 Question c. 1 0 1 1 A = 0 1 1 В 1 1 0
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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Please solve only question 2.
![## Solve Matrix Equation \( A \cdot X = B \)
### Instructions:
Solve the matrix equation \( A \cdot X = B \) using the methods of your choice. Clearly mark the answers.
---
### Question a
Given matrices:
\[
A = \begin{bmatrix}
1 & -1 \\
-1 & 1 \\
2 & 3
\end{bmatrix},
\quad
B = \begin{bmatrix}
1 \\
-1 \\
1
\end{bmatrix}
\]
### Question b
Given matrices:
\[
A = \begin{bmatrix}
1 & 2 & 1 \\
1 & 1 & 2
\end{bmatrix},
\quad
B = \begin{bmatrix}
1 \\
0
\end{bmatrix}
\]
### Question c
Given matrices:
\[
A = \begin{bmatrix}
1 & 0 & 1 \\
0 & 1 & 1 \\
1 & 1 & 0
\end{bmatrix},
\quad
B = \begin{bmatrix}
1 \\
1 \\
0
\end{bmatrix}
\]
---
Note: You may use methods such as row reduction, inverse matrices, or any other appropriate techniques to find the solution \( X \). Make sure to explicitly show all steps and calculations involved in solving for \( X \) in each question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff003da25-8c7d-4491-8329-a317b002c309%2F72dca749-a9dc-4b34-b5c1-f675811561ba%2F9m0og_processed.png&w=3840&q=75)
Transcribed Image Text:## Solve Matrix Equation \( A \cdot X = B \)
### Instructions:
Solve the matrix equation \( A \cdot X = B \) using the methods of your choice. Clearly mark the answers.
---
### Question a
Given matrices:
\[
A = \begin{bmatrix}
1 & -1 \\
-1 & 1 \\
2 & 3
\end{bmatrix},
\quad
B = \begin{bmatrix}
1 \\
-1 \\
1
\end{bmatrix}
\]
### Question b
Given matrices:
\[
A = \begin{bmatrix}
1 & 2 & 1 \\
1 & 1 & 2
\end{bmatrix},
\quad
B = \begin{bmatrix}
1 \\
0
\end{bmatrix}
\]
### Question c
Given matrices:
\[
A = \begin{bmatrix}
1 & 0 & 1 \\
0 & 1 & 1 \\
1 & 1 & 0
\end{bmatrix},
\quad
B = \begin{bmatrix}
1 \\
1 \\
0
\end{bmatrix}
\]
---
Note: You may use methods such as row reduction, inverse matrices, or any other appropriate techniques to find the solution \( X \). Make sure to explicitly show all steps and calculations involved in solving for \( X \) in each question.
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