Given the matrices below and that A = LU, complete L-¹, U-¹, and A-¹ A = A-¹ = 1 -2 3 7 3 -7 1 Ex: 42 4 -16 17 0 1 L= 9] 0 1 0 0 -3 1 0 3 -1 1 U-1 = 1 0 U 1 0 1 -2 1 0 4 -4 1 H 1

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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Given the matrices below and that A = LU, complete L-¹, U-¹, and A-¹
A =
A-¹
=
1
-2
3 7
3
-7
1
Ex: 42
4
-16
17
0
1
L=
9]
0
1
0 0
-3 1 0
3
-1 1
U-1
=
1
0
U
1
0
1
-2
1
0
4
-4
1
H
1
Transcribed Image Text:Given the matrices below and that A = LU, complete L-¹, U-¹, and A-¹ A = A-¹ = 1 -2 3 7 3 -7 1 Ex: 42 4 -16 17 0 1 L= 9] 0 1 0 0 -3 1 0 3 -1 1 U-1 = 1 0 U 1 0 1 -2 1 0 4 -4 1 H 1
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