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Solve the following system by applying the LU-Factorization method and find the first component ( x1) of the solution and the second row, third column entry (u23) of the matrix U. x1+3x2+3x3=16 X1+4x2+3x3=18 X1+3x2+4x3=19 x1 = -1, u23 = 3 X1 = 2, u23 = 0 x1 = 1, u23 = 0 7 X1 = - 2' =-, U23 = -1 O x1 = 2, u23 = 3

Solve the following system by applying the LU-Factorization method and find the first component ( x1) of the solution and the second row, third column entry (u23) of the matrix U. x1+3x2+3x3=16 X1+4x2+3x3=18 X1+3x2+4x3=19 x1 = -1, u23 = 3 X1 = 2, u23 = 0 x1 = 1, u23 = 0 7 X1 = - 2' =-, U23 = -1 O x1 = 2, u23 = 3

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CT: Test
Problem 20CT
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numerical methods

Solve the following system by applying the LU-Factorization method and find the first component ( x1) of the solution and the second row, third column entry (u23) of the matrix U. x1+3x2+3x3=16 X1+4x2+3x3=18 X1+3x2+4x3=19 x1 = -1, u23 = 3 X1 = 2, u23 = 0 x1 = 1, u23 = 0 7 X1 = - 2' =-, U23 = -1 O x1 = 2, u23 = 3
Transcribed Image Text:Solve the following system by applying the LU-Factorization method and find the first component ( x1) of the solution and the second row, third column entry (u23) of the matrix U. x1+3x2+3x3=16 X1+4x2+3x3=18 X1+3x2+4x3=19 x1 = -1, u23 = 3 X1 = 2, u23 = 0 x1 = 1, u23 = 0 7 X1 = - 2' =-, U23 = -1 O x1 = 2, u23 = 3
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