Use an LU-factorization of the coefficient matrix to solve the follow- ing system of linear equations. x + 2y + z = 1 x + 2y – z 3 x – 2y + z -3.
Use an LU-factorization of the coefficient matrix to solve the follow- ing system of linear equations. x + 2y + z = 1 x + 2y – z 3 x – 2y + z -3.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CR: Chapter Review
Problem 47E
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Step 1: Given
VIEWStep 2: LU decomposition of A
VIEWStep 3: Finding the values of the elements of L & U.
VIEWStep 4: Permute the A. swap row 2 and row3.
VIEWStep 5: Finding the values of the elements of L & U.
VIEWStep 6: LU decomposition of permuted A
VIEWStep 7: Further solution , put UX = M
VIEWStep 8: equate UX = M
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