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
![**Matrix Inversion Exercise**
**Problem Statement:**
6. Find the inverse of each matrix. (Hint: One of them you should just be able to write down without doing any fancy procedure)
**Matrices to Invert:**
a) Matrix \( A \):
\[
A = \begin{bmatrix} 5 & -2 \\ -9 & 4 \end{bmatrix}
\]
b) Matrix \( B \):
\[
B = \begin{bmatrix} 1 & -7 \\ 0 & 1 \end{bmatrix}
\]
**Explanation:**
- **Matrix \( A \) is a 2x2 matrix** with elements \( 5, -2, -9, \) and \( 4 \).
- **Matrix \( B \) is also a 2x2 matrix** with elements \( 1, -7, 0, \) and \( 1 \).
- One of these matrices has a straightforward inverse calculation, likely due to its structure. Can you identify which one?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80321e65-f5af-4407-990e-2a73bdb503ea%2Fc0fb9ebd-1ce1-4690-b15a-a1ef31f7da7a%2F8i4pvd_processed.png&w=3840&q=75)
Transcribed Image Text:**Matrix Inversion Exercise**
**Problem Statement:**
6. Find the inverse of each matrix. (Hint: One of them you should just be able to write down without doing any fancy procedure)
**Matrices to Invert:**
a) Matrix \( A \):
\[
A = \begin{bmatrix} 5 & -2 \\ -9 & 4 \end{bmatrix}
\]
b) Matrix \( B \):
\[
B = \begin{bmatrix} 1 & -7 \\ 0 & 1 \end{bmatrix}
\]
**Explanation:**
- **Matrix \( A \) is a 2x2 matrix** with elements \( 5, -2, -9, \) and \( 4 \).
- **Matrix \( B \) is also a 2x2 matrix** with elements \( 1, -7, 0, \) and \( 1 \).
- One of these matrices has a straightforward inverse calculation, likely due to its structure. Can you identify which one?
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