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
![**Question 2: Find the sum.**
You are given the task to find the sum of two matrices:
Matrix A:
\[
\begin{bmatrix}
1 & 4 \\
0 & 3 \\
\end{bmatrix}
\]
Matrix B:
\[
\begin{bmatrix}
0 & 0 \\
0 & 0 \\
\end{bmatrix}
\]
Options provided for the sum:
1.
\[
\begin{bmatrix}
1 & 4 \\
0 & 3 \\
\end{bmatrix}
\]
2. **Undefined**
3.
\[
\begin{bmatrix}
0 & 0 \\
0 & 0 \\
\end{bmatrix}
\]
4.
\[
\begin{bmatrix}
1 & 0 \\
4 & 3 \\
\end{bmatrix}
\]
To find the sum of two matrices, they must have the same dimensions. Here, Matrix A is 2x2, and Matrix B is also 2x2. Therefore, the sum is:
\[
\begin{bmatrix}
1+0 & 4+0 \\
0+0 & 3+0 \\
\end{bmatrix}
=
\begin{bmatrix}
1 & 4 \\
0 & 3 \\
\end{bmatrix}
\]
Therefore, the correct answer is the first option:
\[
\begin{bmatrix}
1 & 4 \\
0 & 3 \\
\end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff50d1ea7-07a5-49c5-a7c3-91a854d294fd%2F88099b95-2842-4416-bb10-095b39d61ea7%2Fox13bd5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 2: Find the sum.**
You are given the task to find the sum of two matrices:
Matrix A:
\[
\begin{bmatrix}
1 & 4 \\
0 & 3 \\
\end{bmatrix}
\]
Matrix B:
\[
\begin{bmatrix}
0 & 0 \\
0 & 0 \\
\end{bmatrix}
\]
Options provided for the sum:
1.
\[
\begin{bmatrix}
1 & 4 \\
0 & 3 \\
\end{bmatrix}
\]
2. **Undefined**
3.
\[
\begin{bmatrix}
0 & 0 \\
0 & 0 \\
\end{bmatrix}
\]
4.
\[
\begin{bmatrix}
1 & 0 \\
4 & 3 \\
\end{bmatrix}
\]
To find the sum of two matrices, they must have the same dimensions. Here, Matrix A is 2x2, and Matrix B is also 2x2. Therefore, the sum is:
\[
\begin{bmatrix}
1+0 & 4+0 \\
0+0 & 3+0 \\
\end{bmatrix}
=
\begin{bmatrix}
1 & 4 \\
0 & 3 \\
\end{bmatrix}
\]
Therefore, the correct answer is the first option:
\[
\begin{bmatrix}
1 & 4 \\
0 & 3 \\
\end{bmatrix}
\]
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