In Exercises 1 and 2, compute each matrix sum or product if it is defined. If an expression is undefined, explain why. Let A 2 - [² = -2) 0 -1 4 -5 B = 117 2 C c = [-12 1]₁ 1. -2A, B-2A, AC, CD 3 D = [-³ 7 -5 -4 -3 5 $]. B = [-3 E 4

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter13: Structures
Section: Chapter Questions
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2.1 EXERCISES
In Exercises 1 and 2, compute each matrix sum or product if it is
defined. If an expression is undefined, explain why. Let
2 0 -1
7 -5 17
1 -4 -3
A =
=
_-3].
4 -5
[²2] B-1
- [ - ] - [ ] = [3]
1
2
3
C =
D =
$].
E
-2
1. -2A, B-2A, AC, CD
2. A + 2B, 3C - E, CB, EB
In the rest of this exercise set and in those to follow, you should
assume that each matrix expression is defined. That is, the sizes
of the matrices (and vectors) involved "match" appropriately.
Compute 312 - A and (31₂) A.
3. Let A =
^= ['$
A =
4 -1
5 -2
●
760
Compute A - 513 and (513) A, when
matrix, all of whose columns=
9 -1 3
-8 7 -6
-4 1 8
In Exercises 5 and 6, compute the product AB in two ways: (a) by
b) by the row-column rule for computing AB.
the definition, where Ab, and Ab2 are computed separately, and
5. A
6. A
7. If a
Size
8. How
♡
Let A
k, if an
10. Let A =
Verify th
11. Let A =
pute AD
change w
left. Find a
matin. Sa
Transcribed Image Text:2.1 EXERCISES In Exercises 1 and 2, compute each matrix sum or product if it is defined. If an expression is undefined, explain why. Let 2 0 -1 7 -5 17 1 -4 -3 A = = _-3]. 4 -5 [²2] B-1 - [ - ] - [ ] = [3] 1 2 3 C = D = $]. E -2 1. -2A, B-2A, AC, CD 2. A + 2B, 3C - E, CB, EB In the rest of this exercise set and in those to follow, you should assume that each matrix expression is defined. That is, the sizes of the matrices (and vectors) involved "match" appropriately. Compute 312 - A and (31₂) A. 3. Let A = ^= ['$ A = 4 -1 5 -2 ● 760 Compute A - 513 and (513) A, when matrix, all of whose columns= 9 -1 3 -8 7 -6 -4 1 8 In Exercises 5 and 6, compute the product AB in two ways: (a) by b) by the row-column rule for computing AB. the definition, where Ab, and Ab2 are computed separately, and 5. A 6. A 7. If a Size 8. How ♡ Let A k, if an 10. Let A = Verify th 11. Let A = pute AD change w left. Find a matin. Sa
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