2 -4 0 0 1 2 12 0 17. 0 0 2 0 0 -1 -4 -5, In Exercises 19-20, find the invers

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,...
icon
Related questions
Question
100%
F1.5 question 17 on paper please
9. a. A =
6
b. A =
¹=1 - 3
10. a. A =
-16
In Exercises 11-12, use the inversion algorithm to find the inverse of
the matrix (if the inverse exists).
3
-1
-4
1 2 3
2
4
1
b.
11. a.
2 5 3
1
4
-9
0 8
2
12. a.
10
In Exercises 13-18, use the inversion algorithm to find the inverse of
the matrix (if the inverse exists).
0 1
√2 3√√/2 0
13.
0
1 1
14.
-4√/2 √2
1
0
15.
= [2 71
2
[
2 7 6
2 7 7
16.
1
1
1
0
0 01
3
0 0
3
5
0
3 5
7
Transcribed Image Text:9. a. A = 6 b. A = ¹=1 - 3 10. a. A = -16 In Exercises 11-12, use the inversion algorithm to find the inverse of the matrix (if the inverse exists). 3 -1 -4 1 2 3 2 4 1 b. 11. a. 2 5 3 1 4 -9 0 8 2 12. a. 10 In Exercises 13-18, use the inversion algorithm to find the inverse of the matrix (if the inverse exists). 0 1 √2 3√√/2 0 13. 0 1 1 14. -4√/2 √2 1 0 15. = [2 71 2 [ 2 7 6 2 7 7 16. 1 1 1 0 0 01 3 0 0 3 5 0 3 5 7
2
0
0
1
2 12
17.
1
0
0
0
18.
0 -1
3
0
0
-1
-4
-5]
2
1
5
-3,
In Exercises 19-20, find the inverse of each of the following 4x4
matrices, where k₁, k₂, k3, k4, and k are all nonzero.
k₁
0 0 0
k
1
0
0
0
k₂
0
0
0 1 0
0
19. a.
b.
0
0
k3
0
0
0 k 1
0
0 0
k₁.
0
0 0 1.
0
0 0
k₁
k
0 0
0
0
k₂
1
k0
0
20. a.
0
k3
0
0 1
k 0
K4 0 0 0
[0 0 1 k]
In Exercises 21-22, find all values of c, if any, for which the given
matrix is invertible.
C
C C
C
22. 1 C 1
a
C
21.
C
с
1 1
C
In Exercises 23-26, express the matrix and its inverse as products of
elementary matrices.
01
-4
0
2 0
b.
0
2
0
0
1
Transcribed Image Text:2 0 0 1 2 12 17. 1 0 0 0 18. 0 -1 3 0 0 -1 -4 -5] 2 1 5 -3, In Exercises 19-20, find the inverse of each of the following 4x4 matrices, where k₁, k₂, k3, k4, and k are all nonzero. k₁ 0 0 0 k 1 0 0 0 k₂ 0 0 0 1 0 0 19. a. b. 0 0 k3 0 0 0 k 1 0 0 0 k₁. 0 0 0 1. 0 0 0 k₁ k 0 0 0 0 k₂ 1 k0 0 20. a. 0 k3 0 0 1 k 0 K4 0 0 0 [0 0 1 k] In Exercises 21-22, find all values of c, if any, for which the given matrix is invertible. C C C C 22. 1 C 1 a C 21. C с 1 1 C In Exercises 23-26, express the matrix and its inverse as products of elementary matrices. 01 -4 0 2 0 b. 0 2 0 0 1
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education