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 features a mathematical problem focused on matrix addition. It instructs the reader to compute the sum of two matrices.
Matrix A:
\[
\begin{bmatrix}
4 & 4 \\
0 & 4 \\
\end{bmatrix}
\]
Matrix B:
\[
\begin{bmatrix}
2 & 1 \\
1 & 2 \\
\end{bmatrix}
\]
Below these matrices, there is a blank 2x2 matrix where the result should be filled in.
**Matrix Addition Explanation:**
To add two matrices, you simply add their corresponding elements. The matrices above are both 2x2:
- First row, first column: \(4 + 2\)
- First row, second column: \(4 + 1\)
- Second row, first column: \(0 + 1\)
- Second row, second column: \(4 + 2\)
Each of these sums will be entered into the corresponding position in the blank matrix, resulting in the following:
Resultant Matrix:
\[
\begin{bmatrix}
6 & 5 \\
1 & 6 \\
\end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd73810a-c249-4a89-b8c9-68bba5fd26a7%2Fc7898b27-2272-440e-ab64-53550afc4a3d%2Fcxc3di_processed.png&w=3840&q=75)
Transcribed Image Text:The image features a mathematical problem focused on matrix addition. It instructs the reader to compute the sum of two matrices.
Matrix A:
\[
\begin{bmatrix}
4 & 4 \\
0 & 4 \\
\end{bmatrix}
\]
Matrix B:
\[
\begin{bmatrix}
2 & 1 \\
1 & 2 \\
\end{bmatrix}
\]
Below these matrices, there is a blank 2x2 matrix where the result should be filled in.
**Matrix Addition Explanation:**
To add two matrices, you simply add their corresponding elements. The matrices above are both 2x2:
- First row, first column: \(4 + 2\)
- First row, second column: \(4 + 1\)
- Second row, first column: \(0 + 1\)
- Second row, second column: \(4 + 2\)
Each of these sums will be entered into the corresponding position in the blank matrix, resulting in the following:
Resultant Matrix:
\[
\begin{bmatrix}
6 & 5 \\
1 & 6 \\
\end{bmatrix}
\]
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