Given the matrices below and that A = LU, complete L-¹, U-¹, and A-¹. A = L-¹ = A-1 1 -4 5 1 Ex: 42 -5 -3 21 11 -21 -18 <> <><><> 0 1 ŵ <><><> 0 0 1 L= 1 0 -4 1 0 5 4 1 = 0 1 -5 1 0 U= 0 1 0 C -3 -1 1 1 C C
Given the matrices below and that A = LU, complete L-¹, U-¹, and A-¹. A = L-¹ = A-1 1 -4 5 1 Ex: 42 -5 -3 21 11 -21 -18 <> <><><> 0 1 ŵ <><><> 0 0 1 L= 1 0 -4 1 0 5 4 1 = 0 1 -5 1 0 U= 0 1 0 C -3 -1 1 1 C C
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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Transcribed Image Text:CHALLENGE 2.11.1: LU decomposition.
ACTIVITY
460004 3293602 qx3zay7
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Given the matrices below and that A = LU, complete L-¹, U-¹, and A-¹
A =
L-¹ =
A-¹
Check
1
-4
5
-5 -3
21 11
-21 -18
1
Ex: 42 C
<>
<><><>
Next
0
1
î
C
0
1
L = -4
5
0 0
1 0
4
U-1
=
0
U =
1
0
1
0
0
-5
1
0
-3
-1
1
1
C
4
F
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