Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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**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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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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