The matrices A, B and C are given by - -2 -1 2 1 -3 2 - 1 -1 4 A= -1 2 -1 B= 2 2 1 C= -1 3 2 3 3 -2 -4 2 2 1 -4 3 and D = 3A - 2C. Give the value of d 1,3.
The matrices A, B and C are given by - -2 -1 2 1 -3 2 - 1 -1 4 A= -1 2 -1 B= 2 2 1 C= -1 3 2 3 3 -2 -4 2 2 1 -4 3 and D = 3A - 2C. Give the value of d 1,3.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section: Chapter Questions
Problem 14RQ
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![The matrices A, B, and C are given by:
\[
A = \begin{bmatrix} -2 & -1 & 2 \\ -1 & 2 & -1 \\ 3 & 3 & -2 \end{bmatrix} \quad B= \begin{bmatrix} 1 & -3 & 2 \\ 2 & 2 & 1 \\ -4 & 2 & 2 \end{bmatrix} \quad C= \begin{bmatrix} -1 & -1 & 4 \\ -1 & 3 & 2 \\ 1 & -4 & 3 \end{bmatrix}
\]
and the matrix \( D = 3A - 2C \). Find the value of \( d_{1,3} \).
Options:
a) 7
b) 0
c) 4
d) 1
e) -2
f) None of the above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75f9ee09-effb-44e5-84f1-3c7680244f9f%2Ff069e50d-94cc-402b-af20-41bffc82647d%2Fy3u98zr_processed.png&w=3840&q=75)
Transcribed Image Text:The matrices A, B, and C are given by:
\[
A = \begin{bmatrix} -2 & -1 & 2 \\ -1 & 2 & -1 \\ 3 & 3 & -2 \end{bmatrix} \quad B= \begin{bmatrix} 1 & -3 & 2 \\ 2 & 2 & 1 \\ -4 & 2 & 2 \end{bmatrix} \quad C= \begin{bmatrix} -1 & -1 & 4 \\ -1 & 3 & 2 \\ 1 & -4 & 3 \end{bmatrix}
\]
and the matrix \( D = 3A - 2C \). Find the value of \( d_{1,3} \).
Options:
a) 7
b) 0
c) 4
d) 1
e) -2
f) None of the above.
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