**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 \( B \).

Answered: Find the matrix product AB, if it is…

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Find the matrix product AB, if it is defined. -13 A = = ^-[-22] -B- (-:22] I -16 -64 6-1 4-6 2-6 1 20 -24

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

**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

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