Consider the following system of linear equations, 2x1 + X1 3x1 -2x1 X2 + 2x₂ - - - - 3x3 + X4 2x3 + 2x4 4x2 + 3x3 X4 X₂ 5x3 + 4x4 = -3 Use Gauss Elimination method to find the solution of the system. (Hint :1- Write the system in matrix form (Ax = b) 2-Write the augmented matrix 3- Use row operations to transform the augmented matrix into the Echelon form 4- Use back substitution to get the solution) - -1 Trom = = 0

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 100E
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Consider the following system of linear equations,
2x₁ +
-1
=
7
X4 =
0
X2
5x3+4x4 = -3
Use Gauss Elimination method to find the solution of the system.
(Hint:1- Write the system in matrix form (Ax = b) 2-Write the augmented matrix 3-
Use row operations to transform the augmented matrix into the Echelon form 4- Use
back substitution to get the solution)
X1
3x1
-2x1
X2
+ 2x₂
-
3x3 + X4
2x3 + 2x4
4x2 + 3x3
Transcribed Image Text:Consider the following system of linear equations, 2x₁ + -1 = 7 X4 = 0 X2 5x3+4x4 = -3 Use Gauss Elimination method to find the solution of the system. (Hint:1- Write the system in matrix form (Ax = b) 2-Write the augmented matrix 3- Use row operations to transform the augmented matrix into the Echelon form 4- Use back substitution to get the solution) X1 3x1 -2x1 X2 + 2x₂ - 3x3 + X4 2x3 + 2x4 4x2 + 3x3
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