Which matrix has an inverse? O A. О в. O C. O D. [2] -2 8 16 6 T❤ 3] -1 4 9 [11 4 3 1 9] 8 7

Algebra and Trigonometry (6th Edition)
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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:** Which matrix has an inverse?

**Options:**

- **A.** 
  \[
  \begin{bmatrix} 
  11 \\ 
  -2 
  \end{bmatrix} 
  \]

- **B.** 
  \[
  \begin{bmatrix} 
  8 & 3 \\ 
  16 & 6 
  \end{bmatrix} 
  \]

- **C.** 
  \[
  \begin{bmatrix} 
  -1 & 4 & 3 \\ 
  8 & 9 & 1 
  \end{bmatrix} 
  \]

- **D.** 
  \[
  \begin{bmatrix} 
  11 & 9 \\ 
  8 & 7 
  \end{bmatrix} 
  \] 

**Explanation:** The question asks which matrix has an inverse. For a matrix to be invertible, it must be a square matrix with a non-zero determinant. Each option presents a different matrix configuration.
Transcribed Image Text:**Question:** Which matrix has an inverse? **Options:** - **A.** \[ \begin{bmatrix} 11 \\ -2 \end{bmatrix} \] - **B.** \[ \begin{bmatrix} 8 & 3 \\ 16 & 6 \end{bmatrix} \] - **C.** \[ \begin{bmatrix} -1 & 4 & 3 \\ 8 & 9 & 1 \end{bmatrix} \] - **D.** \[ \begin{bmatrix} 11 & 9 \\ 8 & 7 \end{bmatrix} \] **Explanation:** The question asks which matrix has an inverse. For a matrix to be invertible, it must be a square matrix with a non-zero determinant. Each option presents a different matrix configuration.
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Step 1

Concept:

Determinant and inverse of matrix 

A=abcdA=ad-bcA-1=1A×d-b-ca

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