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 contains two matrices, \([F]\) and \([G]\), and a mathematical expression to compute \(2[F] - 3[G]\).
Matrix \([F]\) is a \(2 \times 4\) matrix:
\[
[F] = \begin{bmatrix}
5 & -10 & 3 & -7 \\
-2 & -4 & -9 & -6 \\
\end{bmatrix}
\]
Matrix \([G]\) is a \(2 \times 4\) matrix:
\[
[G] = \begin{bmatrix}
-2 & 2 & -9 & -1 \\
8 & 1 & 7 & 3 \\
\end{bmatrix}
\]
The expression \(2[F] - 3[G]\) involves multiplying matrix \([F]\) by 2, matrix \([G]\) by 3, and then subtracting the resulting matrices. The result is also a \(2 \times 4\) matrix. The resulting structure is shown with placeholders for each of its elements:
\[
2[F] - 3[G] = \begin{bmatrix}
\text{ } & \text{ } & \text{ } & \text{ } \\
\text{ } & \text{ } & \text{ } & \text{ } \\
\end{bmatrix}
\]
This expression involves basic matrix operations: scalar multiplication and matrix subtraction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd73810a-c249-4a89-b8c9-68bba5fd26a7%2Fba8b8d92-6bc6-44f8-a621-26a9a7f4ce3d%2F4f11zcb_processed.png&w=3840&q=75)
Transcribed Image Text:The image contains two matrices, \([F]\) and \([G]\), and a mathematical expression to compute \(2[F] - 3[G]\).
Matrix \([F]\) is a \(2 \times 4\) matrix:
\[
[F] = \begin{bmatrix}
5 & -10 & 3 & -7 \\
-2 & -4 & -9 & -6 \\
\end{bmatrix}
\]
Matrix \([G]\) is a \(2 \times 4\) matrix:
\[
[G] = \begin{bmatrix}
-2 & 2 & -9 & -1 \\
8 & 1 & 7 & 3 \\
\end{bmatrix}
\]
The expression \(2[F] - 3[G]\) involves multiplying matrix \([F]\) by 2, matrix \([G]\) by 3, and then subtracting the resulting matrices. The result is also a \(2 \times 4\) matrix. The resulting structure is shown with placeholders for each of its elements:
\[
2[F] - 3[G] = \begin{bmatrix}
\text{ } & \text{ } & \text{ } & \text{ } \\
\text{ } & \text{ } & \text{ } & \text{ } \\
\end{bmatrix}
\]
This expression involves basic matrix operations: scalar multiplication and matrix subtraction.
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