4.-If 8 -1 b = 3 Solve the system of linear equations Ax = b, where A is the matrix in Problem 3. Use the LU decomposition of matrix A to solve

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 50EQ
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do question no 4 only
3. Obtain, using R, the LU decomposition of the following matrix
4
2
6 -2
4
2
2
3 -1
-1
-1
3 25 -3
4
22
A =
-2 -1
-3
2 -1 -7
0 -1
4 -1
4 18
4 -1
22 -7 18 91
4.-If
8
b =
1
3
Solve the system of linear equations Ax = b, where A is the matrix in Problem 3. Use the LU
decomposition of matrix A to solve
Transcribed Image Text:3. Obtain, using R, the LU decomposition of the following matrix 4 2 6 -2 4 2 2 3 -1 -1 -1 3 25 -3 4 22 A = -2 -1 -3 2 -1 -7 0 -1 4 -1 4 18 4 -1 22 -7 18 91 4.-If 8 b = 1 3 Solve the system of linear equations Ax = b, where A is the matrix in Problem 3. Use the LU decomposition of matrix A to solve
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