The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solutio 1 2 -3 3 4 - 4 0 0 01 00 O A. x₁11+ 11x3 x2 = -4-4x3 X3 = 0 OC. x₁11 + 11x3 x2 = -4-4x3 X3 is free OB. x₁ =3-2x2 + 3x3 x₂ = -4-4x3 X3 is free O D. There is no solution.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.1: Matrices And Systems Of Linear Equations
Problem 4E
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The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution.
1 2
- 3
3
0 1
4
- 4
0 0
•..
O A. X1 = 11+ 11x3
X2 = - 4- 4x3
B. X1 = 3- 2x2 +
X2 = - 4- 4x3
X3 is free
X3 = 0
O C. X1 = 11+ 11x3
= - 4- 4x3
D. There is no solution.
%3D
X3 is free
Transcribed Image Text:The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. 1 2 - 3 3 0 1 4 - 4 0 0 •.. O A. X1 = 11+ 11x3 X2 = - 4- 4x3 B. X1 = 3- 2x2 + X2 = - 4- 4x3 X3 is free X3 = 0 O C. X1 = 11+ 11x3 = - 4- 4x3 D. There is no solution. %3D X3 is free
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