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 11**
Given matrices \( A \) and \( B \):
\[ A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}, \quad B = \begin{bmatrix} 5 & 6 \\ 7 & 8 \end{bmatrix} \]
Find \( 3A + 2B \).
**Options:**
- **A.** \( \begin{bmatrix} 8 & 12 \\ 16 & 20 \end{bmatrix} \)
- **B.** \( \begin{bmatrix} 13 & 18 \\ 23 & 28 \end{bmatrix} \)
- **C.** Does not exist
- **D.** \( \begin{bmatrix} 11 & 14 \\ 17 & 12 \end{bmatrix} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13a2dcc6-42e4-4e14-ac91-024e401b97a3%2F2b17f514-23bc-4351-989b-495ed4608964%2Fr30b4z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 11**
Given matrices \( A \) and \( B \):
\[ A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}, \quad B = \begin{bmatrix} 5 & 6 \\ 7 & 8 \end{bmatrix} \]
Find \( 3A + 2B \).
**Options:**
- **A.** \( \begin{bmatrix} 8 & 12 \\ 16 & 20 \end{bmatrix} \)
- **B.** \( \begin{bmatrix} 13 & 18 \\ 23 & 28 \end{bmatrix} \)
- **C.** Does not exist
- **D.** \( \begin{bmatrix} 11 & 14 \\ 17 & 12 \end{bmatrix} \)
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