When A is invertible, MATLAB finds A -1 by factoring A = LU (where I may be
Question:
When A is invertible, MATLAB finds A-1 by factoring A = LU (where I may be permuted lower triangular), inverting L and U, and then computing U-¹L-¹. Use this method to
compute the inverse of A in Exercise 2.
Data from in Exercise 2
Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary row reduction.
Transcribed Image Text:
A = A = 4 -4 8 1 -1 2 3-5 7 6-8 -5 0 0 10 0 1 b= 2 -4 6 4 3-5 0-2 2 00 2
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00 1 0 0 1 reduce LI 1 L 1 2 10 0 1 LI 1 1 0 0 20 1 0 so I 4 0 0 UI 0 0 4 U 0 0 3 2 0 3 2 0 ...View the full answer
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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