-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 00 k4. LO 0 0 1. 0 0 k₁1 [k 00 01 ГО

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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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,...
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F.1.5 question 19 on paper plz
2
-4
0
0
TO
0
W
1
2
12
17.
0
1
0
1
31
0
0
18.
2
0
0
3
0
0
-1 -4 -5.
12
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
LO
0 0 1]
0
0 0 k₁
k
0 0 0
0
0 k₂
0
1
k 0 0
20. a.
b.
0
k3
0
0
0 1 k 0
LK4
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.
с 1 0
C
C C
22.
1
с 1
21. 1 C C
0 1
1 1
C
In Exercises 23-26, express the matrix and its inverse as products of
elementary matrices.
24.
23.
2
[1 1 0
0 -2]
1 1 1
[1
bat
26.
0
0
2
Transcribed Image Text:2 -4 0 0 TO 0 W 1 2 12 17. 0 1 0 1 31 0 0 18. 2 0 0 3 0 0 -1 -4 -5. 12 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 LO 0 0 1] 0 0 0 k₁ k 0 0 0 0 0 k₂ 0 1 k 0 0 20. a. b. 0 k3 0 0 0 1 k 0 LK4 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. с 1 0 C C C 22. 1 с 1 21. 1 C C 0 1 1 1 C In Exercises 23-26, express the matrix and its inverse as products of elementary matrices. 24. 23. 2 [1 1 0 0 -2] 1 1 1 [1 bat 26. 0 0 2
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