1. Solve using Gaussian Elimination and check using GaUSS-Jordan Elimination. X1 + 3x2 = 5 2x1 – x2 = 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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1. Solve using Gaussian Elimination and check using GaUS-Jordan Elimination.
X1 + 3x2 = 5
2х, — х, 3D 6
2. Solve using Gauss-Jordan Elimination and check using Cramer's Rule.
X1 + 5x2 – x3 = 7
4x, + 3x, + 6хз —D 15
3. Solve using LU Factorization and check using Matrix Inversion.
X1 + 2x2 + 4x3 = -3
4x, + 7x, + 13х3 — —10
2x1 + 7x2 + 15x3 = 8
%3D
4. Solve using Gauss-Jordan Elimination and check using Matrix Inversion.
2x1 + 2x2 – x3 – x4 = 2
X1 – X2 – X3 – 3x4 = 0
%3D
X1 +x2 + x3 - 4x4 = 1
x1 + 5x2 + 2x3 +x4 = 1
5. Solve using Matrix Inversion and check using Cramer's Rule.
X1 + x2 + 2x3 +x4 = 4
2x1 – x3 + x4 = 6
X2 + 3x3 – x4 = 3
3x1 + 2x2 + x4 = 9
Page 24 I
Q +
24
Transcribed Image Text:1. Solve using Gaussian Elimination and check using GaUS-Jordan Elimination. X1 + 3x2 = 5 2х, — х, 3D 6 2. Solve using Gauss-Jordan Elimination and check using Cramer's Rule. X1 + 5x2 – x3 = 7 4x, + 3x, + 6хз —D 15 3. Solve using LU Factorization and check using Matrix Inversion. X1 + 2x2 + 4x3 = -3 4x, + 7x, + 13х3 — —10 2x1 + 7x2 + 15x3 = 8 %3D 4. Solve using Gauss-Jordan Elimination and check using Matrix Inversion. 2x1 + 2x2 – x3 – x4 = 2 X1 – X2 – X3 – 3x4 = 0 %3D X1 +x2 + x3 - 4x4 = 1 x1 + 5x2 + 2x3 +x4 = 1 5. Solve using Matrix Inversion and check using Cramer's Rule. X1 + x2 + 2x3 +x4 = 4 2x1 – x3 + x4 = 6 X2 + 3x3 – x4 = 3 3x1 + 2x2 + x4 = 9 Page 24 I Q + 24
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