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,...
Related questions
Question
![**Exercise: Matrix Multiplication**
Given matrices \( A \) and \( B \), find the matrix product \( AB \), if it is defined.
Matrix \( A \):
\[
A = \begin{bmatrix} -1 & 3 \\ 2 & 2 \end{bmatrix}
\]
Matrix \( B \):
\[
B = \begin{bmatrix} -2 & 0 \\ -1 & 2 \end{bmatrix}
\]
**Select the correct product from the options below:**
1.
\[
\begin{bmatrix} -1 & 6 \\ -6 & 4 \end{bmatrix}
\]
2.
\[
\begin{bmatrix} 6 & -1 \\ 4 & -6 \end{bmatrix}
\]
3.
\[
\begin{bmatrix} 2 & -6 \\ -1 & 1 \end{bmatrix}
\]
4.
\[
\begin{bmatrix} 20 & -4 \\ -24 & -4 \end{bmatrix}
\]
Evaluate each option to determine which matrix is the correct product of matrices \( A \) and \( B \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac0f3c56-5561-4b47-8ddf-f02546f51c3e%2Fb7bee6ff-bc64-4605-8e59-9724c37e57ef%2Fz5r8uzt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Exercise: Matrix Multiplication**
Given matrices \( A \) and \( B \), find the matrix product \( AB \), if it is defined.
Matrix \( A \):
\[
A = \begin{bmatrix} -1 & 3 \\ 2 & 2 \end{bmatrix}
\]
Matrix \( B \):
\[
B = \begin{bmatrix} -2 & 0 \\ -1 & 2 \end{bmatrix}
\]
**Select the correct product from the options below:**
1.
\[
\begin{bmatrix} -1 & 6 \\ -6 & 4 \end{bmatrix}
\]
2.
\[
\begin{bmatrix} 6 & -1 \\ 4 & -6 \end{bmatrix}
\]
3.
\[
\begin{bmatrix} 2 & -6 \\ -1 & 1 \end{bmatrix}
\]
4.
\[
\begin{bmatrix} 20 & -4 \\ -24 & -4 \end{bmatrix}
\]
Evaluate each option to determine which matrix is the correct product of matrices \( A \) and \( B \).
Expert Solution
Step 1
Given query is to find the product of the matrix.
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Solved in 2 steps with 1 images
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