3. Suppose you are given the matrices A, B, C, and D below. 4 -2 10 3 1 3 -. -3 -2 -1 C = D = 1 A = B = 1 -4 -2 1 1 5 -7 3 6 -5 -3 2 -5 (a) Is it possible to compute A +C? If it is, find A+C. If not, why not? (b) Is it possible to compute D – A? If it is, find D – A. If not, why not? (c) Is it possible to compute A· C? If it is, find the dimensions of A · C. If not, why not? (d) Is it possible to compute A · B? If it is, find the dimensions of A · B. If not, why not?
3. Suppose you are given the matrices A, B, C, and D below. 4 -2 10 3 1 3 -. -3 -2 -1 C = D = 1 A = B = 1 -4 -2 1 1 5 -7 3 6 -5 -3 2 -5 (a) Is it possible to compute A +C? If it is, find A+C. If not, why not? (b) Is it possible to compute D – A? If it is, find D – A. If not, why not? (c) Is it possible to compute A· C? If it is, find the dimensions of A · C. If not, why not? (d) Is it possible to compute A · B? If it is, find the dimensions of A · B. If not, why not?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Suppose you are given the matrices A, B, C, and D below.
4
-2
10
3
-1
-
2
3
-3 -2
A
B =
-4 -2
D =
1
1
C =
1
1
-7
2
3
6.
-5 -3
2
-5
(a) Is it possible to compute A+ C? If it is, find A + C. If not, why not?
(b) Is it possible to compute D – A? If it is, find D – A. If not, why not?
(c) Is it possible to compute A · C? If it is, find the dimensions of A· C. If not,
why not?
(d) Is it possible to compute A · B? If it is, find the dimensions of A· B. If not,
why not?
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