1 When A is invertible, MATLAB finds A 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. 3-9 3 A = - 12 33 -6 0-3 3 Compute U1 and L-1. U1 = = Compute A 1. A = L-1 = where A = 100 - 4 1 0 0 1 1 3 -9 3 0-3 6 0 0 -3

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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1
When A is invertible, MATLAB finds A
by factoring LU (where L may be permuted lower triangular),
inverting L and U, and then computing U¯¹L¯¹. Use this method to compute the inverse of the given matrix
A.
U™
A =
A
시
Compute U¹ and L¯1.
L1=
1
1
3 -9 3
- 12 33 - 6
=
Compute A¯1.
=
0 - 3 3
where A =
100
- 4 1 0
0 1 1
3 -9 3
0 - 3
6
0
0-3
Transcribed Image Text:1 When A is invertible, MATLAB finds A by factoring LU (where L may be permuted lower triangular), inverting L and U, and then computing U¯¹L¯¹. Use this method to compute the inverse of the given matrix A. U™ A = A 시 Compute U¹ and L¯1. L1= 1 1 3 -9 3 - 12 33 - 6 = Compute A¯1. = 0 - 3 3 where A = 100 - 4 1 0 0 1 1 3 -9 3 0 - 3 6 0 0-3
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