5. Determine the inverse of each of the following n x n matrices, Jordan elimination. When the inverse does exist, verify that A (a) A = (b) A = (c) A = [13] 02 [5 2 4 7 -3 6 - 2¹] 4 31 (e) A = (f) A =

Elementary Linear Algebra (MindTap Course List)
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Chapter2: Matrices
Section2.3: The Inverse Of A Matrix
Problem 79E: Let A,D, and P be nn matrices satisfying AP=PD. Assume that P is nonsingular and solve this for A....
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5. Determine the inverse of each of the following n x n matrices, if it exists, using the method of Gauss-
Jordan elimination. When the inverse does exist, verify that AA-¹ = A¯¹A = In
[13]
(a) A =
(b) A =
(c) A =
(d) A =
[52]
-3
1
0
-2 5
4
3
2 -1
1
−1 1
(e) A = 3 0 2
2 1
#
6
0
(f) A = 4 -2 3
0 1
Transcribed Image Text:5. Determine the inverse of each of the following n x n matrices, if it exists, using the method of Gauss- Jordan elimination. When the inverse does exist, verify that AA-¹ = A¯¹A = In [13] (a) A = (b) A = (c) A = (d) A = [52] -3 1 0 -2 5 4 3 2 -1 1 −1 1 (e) A = 3 0 2 2 1 # 6 0 (f) A = 4 -2 3 0 1
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