-5 -2 1

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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The image presents a matrix multiplication problem. It includes two matrices on the left side of the equation and an empty matrix on the right side, which represents the result.

The first matrix is a 2x2 matrix:

\[
\begin{bmatrix}
-5 & -2 \\
1 & 2 
\end{bmatrix}
\]

The second matrix is also a 2x1 matrix:

\[
\begin{bmatrix}
-6 \\
-8 
\end{bmatrix}
\]

The task is to multiply these matrices to find the resulting 2x1 matrix, which can be calculated as follows:

For the first element of the result matrix:
\[ 
(-5) \times (-6) + (-2) \times (-8) 
\]

For the second element of the result matrix:
\[ 
1 \times (-6) + 2 \times (-8) 
\]

Thus, the matrix multiplication result will be a new matrix:

\[
\begin{bmatrix}
\text{First element}\\
\text{Second element}
\end{bmatrix}
\]

You need to perform these calculations to fill in the empty matrix on the right side of the equation.
Transcribed Image Text:The image presents a matrix multiplication problem. It includes two matrices on the left side of the equation and an empty matrix on the right side, which represents the result. The first matrix is a 2x2 matrix: \[ \begin{bmatrix} -5 & -2 \\ 1 & 2 \end{bmatrix} \] The second matrix is also a 2x1 matrix: \[ \begin{bmatrix} -6 \\ -8 \end{bmatrix} \] The task is to multiply these matrices to find the resulting 2x1 matrix, which can be calculated as follows: For the first element of the result matrix: \[ (-5) \times (-6) + (-2) \times (-8) \] For the second element of the result matrix: \[ 1 \times (-6) + 2 \times (-8) \] Thus, the matrix multiplication result will be a new matrix: \[ \begin{bmatrix} \text{First element}\\ \text{Second element} \end{bmatrix} \] You need to perform these calculations to fill in the empty matrix on the right side of the equation.
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