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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![**Problem 2: Find the sum or difference, if possible.**
**a.**
\[
\begin{bmatrix}
6 & -9 & 2 \\
4 & 1 & 3 \\
\end{bmatrix}
+
\begin{bmatrix}
-8 & 2 & 5 \\
6 & -3 & 4 \\
\end{bmatrix}
\]
**b.**
\[
\begin{bmatrix}
2 & 4 & 6 \\
\end{bmatrix}
+
\begin{bmatrix}
-2 \\
-4 \\
-6 \\
\end{bmatrix}
\]
**c.**
\[
\begin{bmatrix}
\sqrt{3} & -4 \\
2 & -\sqrt{5} \\
-8 & \sqrt{8} \\
\end{bmatrix}
-
\begin{bmatrix}
2\sqrt{3} & 9 \\
-2 & \sqrt{5} \\
-7 & 3\sqrt{2} \\
\end{bmatrix}
\]
**Explanation:**
These problems involve finding the sum or difference between matrices. Each part (a, b, and c) presents a matrix operation.
- **Part a:** You have two 2x3 matrices. To add them, add corresponding elements.
- **Part b:** Displays a 1x3 matrix added to a 3x1 matrix. Note that addition is not possible as dimensions aren't compatible.
- **Part c:** Consists of two 3x2 matrices. For subtraction, subtract corresponding elements. Some elements include square roots, requiring careful computation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09af1c01-6e60-4588-9390-2a0cbfc62f20%2Fb41602b1-5664-4d1d-9768-eee51789e659%2Faz8wfuy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 2: Find the sum or difference, if possible.**
**a.**
\[
\begin{bmatrix}
6 & -9 & 2 \\
4 & 1 & 3 \\
\end{bmatrix}
+
\begin{bmatrix}
-8 & 2 & 5 \\
6 & -3 & 4 \\
\end{bmatrix}
\]
**b.**
\[
\begin{bmatrix}
2 & 4 & 6 \\
\end{bmatrix}
+
\begin{bmatrix}
-2 \\
-4 \\
-6 \\
\end{bmatrix}
\]
**c.**
\[
\begin{bmatrix}
\sqrt{3} & -4 \\
2 & -\sqrt{5} \\
-8 & \sqrt{8} \\
\end{bmatrix}
-
\begin{bmatrix}
2\sqrt{3} & 9 \\
-2 & \sqrt{5} \\
-7 & 3\sqrt{2} \\
\end{bmatrix}
\]
**Explanation:**
These problems involve finding the sum or difference between matrices. Each part (a, b, and c) presents a matrix operation.
- **Part a:** You have two 2x3 matrices. To add them, add corresponding elements.
- **Part b:** Displays a 1x3 matrix added to a 3x1 matrix. Note that addition is not possible as dimensions aren't compatible.
- **Part c:** Consists of two 3x2 matrices. For subtraction, subtract corresponding elements. Some elements include square roots, requiring careful computation.
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