1. Solve the following system of equations by Gauss elimination method 2x + y +z = 10 3x + 2y + 3z = 18 x + 4y + 9z = 16
1. Solve the following system of equations by Gauss elimination method 2x + y +z = 10 3x + 2y + 3z = 18 x + 4y + 9z = 16
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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![11:36
* ll ull 82% i
e DHAS of Unit 2.pdf
DHAS of Unit-2
1. Solve the following system of equations by Gauss elimination method
2x + y +z = 10
3x + 2y + 3z = 18
x + 4y + 9z = 16
2. Solve the following system of equation by Gauss- Jordan method
2x + 3y +z = 9, x + 2y + 3z = 6,3x + y + 2z = 8
3. Factorized the following matrix in LU form
[2 3
2
1
4. Apply Cholesky's method to find the inverse of
1 2 0.5
2 5
Lo.5 0 2.25
5. Solve the following system of equations
83x + 11y - 4z = 95
7x + 52y + 13z = 104
3x + 8y + 29z = 71.
by (i) Jacobi's method (ii) Gauss-Seidel method.
6. Solve the following system of equations
10x, – 2x2 – x3 - x4 = 3
-2x, + 10x2 - x, - X4 = 15
-X1 - x2 + 10x – 2x4 = 27
-x, - x, - 2x, + 10x, = -9
by (i) Jacobi's method (ii) Gauss-Seidel method.
7. Solve the following system of equations by Gauss-Seidel method
10x – 2y + z = 12, x + 9y – z = 10, 2x – y + 1lz = 20.
8. Determine the largest eigenvalue and the corresponding eigenvector of the matrices
[1 6 11
1 2 0
0 3]
9. Find dominant eigenvalue and corresponding eigenvector of
-2 0
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Transcribed Image Text:11:36
* ll ull 82% i
e DHAS of Unit 2.pdf
DHAS of Unit-2
1. Solve the following system of equations by Gauss elimination method
2x + y +z = 10
3x + 2y + 3z = 18
x + 4y + 9z = 16
2. Solve the following system of equation by Gauss- Jordan method
2x + 3y +z = 9, x + 2y + 3z = 6,3x + y + 2z = 8
3. Factorized the following matrix in LU form
[2 3
2
1
4. Apply Cholesky's method to find the inverse of
1 2 0.5
2 5
Lo.5 0 2.25
5. Solve the following system of equations
83x + 11y - 4z = 95
7x + 52y + 13z = 104
3x + 8y + 29z = 71.
by (i) Jacobi's method (ii) Gauss-Seidel method.
6. Solve the following system of equations
10x, – 2x2 – x3 - x4 = 3
-2x, + 10x2 - x, - X4 = 15
-X1 - x2 + 10x – 2x4 = 27
-x, - x, - 2x, + 10x, = -9
by (i) Jacobi's method (ii) Gauss-Seidel method.
7. Solve the following system of equations by Gauss-Seidel method
10x – 2y + z = 12, x + 9y – z = 10, 2x – y + 1lz = 20.
8. Determine the largest eigenvalue and the corresponding eigenvector of the matrices
[1 6 11
1 2 0
0 3]
9. Find dominant eigenvalue and corresponding eigenvector of
-2 0
Can't connect. Check whether you're online or not.
II
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