When A is invertible, MATLAB finds A¹ by factoring LU (where L may be permuted lower triangular), inverting L and U, and then computing U¹L¹. Use this method to compute the inverse of the given matrix A. A= 4 - 12 8 40 - 16 -8 12 - 16 0 Compute U¹ and L1. U¹ = ¹ = 0 where A = 100 1 0 0 1 1 - 4 4 - 12 8 -8 16 0-4 0 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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When A is invertible, MATLAB finds A by factoring LU (where L may be permuted lower triangular), inverting Land U, and then computing
U¹L¹. Use this method to compute the inverse of the given matrix A.
A=
4 - 12 8
40 - 16
- 8 12
- 16
0
Compute U¹ and L1.
U₁¹ =
where A =
100
1 0
- 4
0
1 1
4 - 12 8
0 -8 16
0
0-4
Transcribed Image Text:- 1 When A is invertible, MATLAB finds A by factoring LU (where L may be permuted lower triangular), inverting Land U, and then computing U¹L¹. Use this method to compute the inverse of the given matrix A. A= 4 - 12 8 40 - 16 - 8 12 - 16 0 Compute U¹ and L1. U₁¹ = where A = 100 1 0 - 4 0 1 1 4 - 12 8 0 -8 16 0 0-4
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