Consider the matrix 3 2 - 1 2 1 %3D 5 | | a] Use the Gaussian elimination with pivoting and three digits calculations to fin the solution of the system Ax=b for b= [2 -3 1], b] From part a, find the LU-factorization of the matrix A, c] Use Gaussian Elimination to find the inverse of the matrix A, di Cind the Conditien N...mhor KIALLISING INICINITY NORM ||

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Consider the matrix
3
2
-
1
2
1
%3D
5
|
|
a] Use the Gaussian elimination with pivoting and three digits calculations to find
the solution of the system Ax=b for b= [2 -3 1],
b] From part a, find the LU-factorization of the matrix A,
c] Use Gaussian Elimination to find the inverse of the matrix A,
d] Find the Condition Number K(A) USING INFINITY NORM.
||
Transcribed Image Text:Consider the matrix 3 2 - 1 2 1 %3D 5 | | a] Use the Gaussian elimination with pivoting and three digits calculations to find the solution of the system Ax=b for b= [2 -3 1], b] From part a, find the LU-factorization of the matrix A, c] Use Gaussian Elimination to find the inverse of the matrix A, d] Find the Condition Number K(A) USING INFINITY NORM. ||
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