Write the following system of equations as matrix equations Ax=b and solve the computing A-¹b. 2x₁-x₂ + 3x3 = 2; 0x₁ + x2 - 4x3 = 5; 2x₁+x₂2x₂ = 7.
Write the following system of equations as matrix equations Ax=b and solve the computing A-¹b. 2x₁-x₂ + 3x3 = 2; 0x₁ + x2 - 4x3 = 5; 2x₁+x₂2x₂ = 7.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer a and b
Transcribed Image Text:a) Write the following system of equations as matrix equations Ax = b and solve them by
computing A-¹b.
2x₁-x₂ + 3x3 = 2;
0x₁ + x2 - 4x3 = 5;
2x₁ + x2 - 2x3 = 7.
b) Solve by LU factorization method.
2x₁ + x₂ + x3 = 1;
4x₁ + x₂ + x₁ = -2;
-2x₁ + 2x₂ + x3 + x4 = 7.
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