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 4 -5 2 3 2] D= [-³ 1. -2A, B - 2A, AC, CD A = c = [₁ C 1 -2 4 3. Let A = [4 [$ A = - B 5 -2 -11 2. Let A be a 4 A²x? Count the multiplica 3. Suppose A is an m x n mat matrix, all of whose colum = 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. 7 -5 -4 Compute A - 513 and (513)A, when 9 -1 3 -8 7 -6 -4 1 8 - E = -5 3 In Exercises 5 and 6, compute the product AB in two ways: (a) by the definition, where Ab, and Ab2 are computed separately, and (b) by the row-column rule for computing AB. 5 7 8 10. 11.
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 4 -5 2 3 2] D= [-³ 1. -2A, B - 2A, AC, CD A = c = [₁ C 1 -2 4 3. Let A = [4 [$ A = - B 5 -2 -11 2. Let A be a 4 A²x? Count the multiplica 3. Suppose A is an m x n mat matrix, all of whose colum = 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. 7 -5 -4 Compute A - 513 and (513)A, when 9 -1 3 -8 7 -6 -4 1 8 - E = -5 3 In Exercises 5 and 6, compute the product AB in two ways: (a) by the definition, where Ab, and Ab2 are computed separately, and (b) by the row-column rule for computing AB. 5 7 8 10. 11.
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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Question
1
![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
C =
2 0 -1
A
4 -5
27
D =
1 = [ ²₁ - ²
[21] -[33]
-2
1. -2A, B - 2A, AC, CD
2. Let A be a 4
A²x? Count the multiplica
3. Suppose A is an m x n mat
matrix, all of whose colum
7 -5
[2] B =[13]
-4
-3
3. Let A =
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.
4 -1
- [$ =2]
5 -2
A =
5
-5
E =
L-1 $]. -[-]
4
3
2001
Compute A - 513 and (513) A, when
9 -1 37
-8 7 -6
-4 1 8
In Exercises 5 and 6, compute the product AB in two ways: (a) by
(b) by the row-column rule for computing AB.
the definition, where Ab₁ and Ab2 are computed separately, and
5
7
8
9
10.
11.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a737fc6-15a5-4a44-9fac-a744876436b7%2F7853dec9-ef9b-4157-8ac2-e3d5e7d8b5d8%2Flxyhqig_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2.1 EXERCISES
In Exercises 1 and 2, compute each matrix sum or product if it is
defined. If an expression is undefined, explain why. Let
C =
2 0 -1
A
4 -5
27
D =
1 = [ ²₁ - ²
[21] -[33]
-2
1. -2A, B - 2A, AC, CD
2. Let A be a 4
A²x? Count the multiplica
3. Suppose A is an m x n mat
matrix, all of whose colum
7 -5
[2] B =[13]
-4
-3
3. Let A =
2. A + 2B, 3C - E, CB, EB
In the rest of this exercise set and in those to follow, you should
assume that each matrix expression is defined. That is, the sizes
of the matrices (and vectors) involved "match" appropriately.
Compute 312 - A and (31₂) A.
4 -1
- [$ =2]
5 -2
A =
5
-5
E =
L-1 $]. -[-]
4
3
2001
Compute A - 513 and (513) A, when
9 -1 37
-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 Ab₁ and Ab2 are computed separately, and
5
7
8
9
10.
11.
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