Consider the system of linear equations: X1 + 5x2 + 3x3 = 4 X1 – X2 + 6x3 = 16 2x1 + x2 %3D =D5 a) Write the system as Ax=b b) Solve the system using Gaussian Elimination with backward substitution. c) What is the determinant of A.

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Chapter2: Second-order Linear Odes
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4) Consider the system of linear equations:
X1 + 5x2 + 3x3 = 4
X1 – X2 + 6x3 = 16
2x1 + x2
= 5
a) Write the system as Ax=b
b) Solve the system using Gaussian Elimination with backward substitution.
c) What is the determinant of A.
d) Perform one step of the Gauss-Seidel Method on this system starting with initial
guess 1
1
Transcribed Image Text:4) Consider the system of linear equations: X1 + 5x2 + 3x3 = 4 X1 – X2 + 6x3 = 16 2x1 + x2 = 5 a) Write the system as Ax=b b) Solve the system using Gaussian Elimination with backward substitution. c) What is the determinant of A. d) Perform one step of the Gauss-Seidel Method on this system starting with initial guess 1 1
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