4. Find the solution of the system of linear equation a) By Matrix Inversion b) By Cramer's Rule 2x - y - 2z = 10 3x-4y + 3z 8 4x - Sy + 4z= 10

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 79E
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I need the answers of 4,5,6 and 7

5 8
1. JAI =|-3 7 -4. Verify the expansion of A.
-1 2 0
a) About the third row
b) About the first column
5 8
2. Find the value of the determinant J4| = -3 7
-1 2
3. Transform the determinant into a triangular determinant and get its
determinant.
5 8 6
JA =-3 7 -4
-1 2 0
4. Find the solution of the system of linear equation
a) By Matrix Inversion
b) By Cramer's Rule
2x -y - 22 = 10
3x- 4y + 3z = 8
4x - 5y + 4z = 10
5. Find the value of the following determinant using Plvotal Method
|1 2 3 41
2 1 4 3
3 4 2 1
4 3 1 21
6. Find the solution of the homogenous system
X - X2 -X - X, = 0
X -X =0
*- 2x, - x, = 0
3 -2
2.
7. Find the inverse of the matrix A =(1 2
2.
-3 using Gauss Jordan
Elimination.
Transcribed Image Text:5 8 1. JAI =|-3 7 -4. Verify the expansion of A. -1 2 0 a) About the third row b) About the first column 5 8 2. Find the value of the determinant J4| = -3 7 -1 2 3. Transform the determinant into a triangular determinant and get its determinant. 5 8 6 JA =-3 7 -4 -1 2 0 4. Find the solution of the system of linear equation a) By Matrix Inversion b) By Cramer's Rule 2x -y - 22 = 10 3x- 4y + 3z = 8 4x - 5y + 4z = 10 5. Find the value of the following determinant using Plvotal Method |1 2 3 41 2 1 4 3 3 4 2 1 4 3 1 21 6. Find the solution of the homogenous system X - X2 -X - X, = 0 X -X =0 *- 2x, - x, = 0 3 -2 2. 7. Find the inverse of the matrix A =(1 2 2. -3 using Gauss Jordan Elimination.
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