5. For each of the following matrices, compute the rank and the inverse i it exists. (a) (13) (d) (b)(3) 2 1 2 1 (c) 1 3 4 2 3 -1 2 1 2 1 2 1 -1 (e) 1 2 (f) 1 0 1 2 4 -5 10 1 1 1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.4: Elementary Matrices
Problem 40E: Use elementary matrices to find the inverse of A=1a0010001100b1000110001000c, c0.
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Section 3.2: Number 5(h) only!!

 

166
5. For each of the following matrices, compute the rank and the inverse if
it exists.
1
2
1
(a) (¦ ³)
1 2
(b) (½ ²)
1 2
24
(c) 1
3
2
3
0
2
(d)
2
(e)
-
-5
-(1-4 (41) -(1)
2
2
0
2
0
Chap. 3 Elementary Matrix Operations and Systems of Linear Equations
1 2
1
0
1
0
1
1
2
5
5
1
1
1
1
2
(g)
(h)
2
-
3
0
3
2
0
1
0
3
4
-
-2
-3
0
1
1
-3
Transcribed Image Text:166 5. For each of the following matrices, compute the rank and the inverse if it exists. 1 2 1 (a) (¦ ³) 1 2 (b) (½ ²) 1 2 24 (c) 1 3 2 3 0 2 (d) 2 (e) - -5 -(1-4 (41) -(1) 2 2 0 2 0 Chap. 3 Elementary Matrix Operations and Systems of Linear Equations 1 2 1 0 1 0 1 1 2 5 5 1 1 1 1 2 (g) (h) 2 - 3 0 3 2 0 1 0 3 4 - -2 -3 0 1 1 -3
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