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-3 -2 10 0 -8 4 -8 8 10 -5 -9 -5 -6 4 7 -5 -4 2 3 [G] 3 -8 -6 1 -2 [B : 10 -3 1 4 8 3 9 4 9 1 -10 2 9 -6 -3 7 2 -5 -1 1 3 0 6 2 5 3[G] + 4[B]

-3 -2 10 0 -8 4 -8 8 10 -5 -9 -5 -6 4 7 -5 -4 2 3 [G] 3 -8 -6 1 -2 [B : 10 -3 1 4 8 3 9 4 9 1 -10 2 9 -6 -3 7 2 -5 -1 1 3 0 6 2 5 3[G] + 4[B]

Algebra and Trigonometry (6th Edition)
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, \([G]\) and \([B]\), along with an expression involving these matrices. The task is to calculate \(3[G] + 4[B]\). **Matrix \([G]\):** \[ [G] = \begin{bmatrix} -3 & -2 & 0 & 10 & 0 & 0 \\ -5 & -9 & -5 & -6 & 4 & 0 \\ 3 & -8 & -6 & 1 & -2 & 0 \\ 3 & 9 & 1 & -10 & 2 & 0 \\ 4 & 9 & 6 & 2 & 5 & 0 \\ \end{bmatrix} \] **Matrix \([B]\):** \[ [B] = \begin{bmatrix} -8 & 4 & -8 & 8 & 10 \\ 7 & -5 & -4 & 2 & 3 \\ 10 & -3 & 1 & 4 & 8 \\ 9 & -6 & -3 & 7 & 2 \\ -5 & -1 & 1 & 3 & 0 \\ \end{bmatrix} \] **Expression:** \[ 3[G] + 4[B] = \begin{bmatrix} \text{(blank spaces for the result)} \end{bmatrix} \] ### Explanation The expression requires the scalar multiplication of matrix \([G]\) by 3 and matrix \([B]\) by 4, followed by the addition of the two resulting matrices. The blank matrix indicates where the results of this calculation will be inserted, containing 5 rows and 5 columns to match the dimensions of both \([G]\) and \([B]\). Each element in the resulting matrix is computed by multiplying the corresponding element from \([G]\) by 3 and \([B]\) by 4, then summing these products.
Transcribed Image Text:The image contains two matrices, \([G]\) and \([B]\), along with an expression involving these matrices. The task is to calculate \(3[G] + 4[B]\). **Matrix \([G]\):** \[ [G] = \begin{bmatrix} -3 & -2 & 0 & 10 & 0 & 0 \\ -5 & -9 & -5 & -6 & 4 & 0 \\ 3 & -8 & -6 & 1 & -2 & 0 \\ 3 & 9 & 1 & -10 & 2 & 0 \\ 4 & 9 & 6 & 2 & 5 & 0 \\ \end{bmatrix} \] **Matrix \([B]\):** \[ [B] = \begin{bmatrix} -8 & 4 & -8 & 8 & 10 \\ 7 & -5 & -4 & 2 & 3 \\ 10 & -3 & 1 & 4 & 8 \\ 9 & -6 & -3 & 7 & 2 \\ -5 & -1 & 1 & 3 & 0 \\ \end{bmatrix} \] **Expression:** \[ 3[G] + 4[B] = \begin{bmatrix} \text{(blank spaces for the result)} \end{bmatrix} \] ### Explanation The expression requires the scalar multiplication of matrix \([G]\) by 3 and matrix \([B]\) by 4, followed by the addition of the two resulting matrices. The blank matrix indicates where the results of this calculation will be inserted, containing 5 rows and 5 columns to match the dimensions of both \([G]\) and \([B]\). Each element in the resulting matrix is computed by multiplying the corresponding element from \([G]\) by 3 and \([B]\) by 4, then summing these products.
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