(a) Use Gaussian Elimination to compute the determinants required to solve the system using Cramer's Rule. (b) Use Gaussian Elimination to compute the inverse of A. (c) Use the inverse to solve the system of equations.

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II)
2x1 + x2 + 5x3 = 1
2.x1 + 2x2 + 2x3 = 1
4x1 + x2 = 2
Transcribed Image Text:II) 2x1 + x2 + 5x3 = 1 2.x1 + 2x2 + 2x3 = 1 4x1 + x2 = 2
(a) Use Gaussian Elimination to compute the determinants required to
solve the system using Cramer's Rule.
(b) Use Gaussian Elimination to compute the inverse of A.
(c) Use the inverse to solve the system of equations.
(d) Use Jacobi's Method to solve the system of equations. Start with a
vector of l's as initial approximation, e = 10-4. It is recommended
that you use Excel or write a program in Java to help you.
(e) Use Gauss-Seidel's Method to solve the system of equations. Start
with a vector of l's as initial approximation, e = 10-4. It is rec-
ommended that you use Excel or write a program in Java to help
you.
Transcribed Image Text:(a) Use Gaussian Elimination to compute the determinants required to solve the system using Cramer's Rule. (b) Use Gaussian Elimination to compute the inverse of A. (c) Use the inverse to solve the system of equations. (d) Use Jacobi's Method to solve the system of equations. Start with a vector of l's as initial approximation, e = 10-4. It is recommended that you use Excel or write a program in Java to help you. (e) Use Gauss-Seidel's Method to solve the system of equations. Start with a vector of l's as initial approximation, e = 10-4. It is rec- ommended that you use Excel or write a program in Java to help you.
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