Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution. x+ y- z= -3 3x - y+ z= 3 - x + 3y - 2z = 1 Use the Gaussian elimination method to obtain the matrix in row-echelon form. Choose the correct answer below. 11 3 - 1 1 1-1-3 O A. 01 -3 -1 OB. 0 1 -1-3 0 0 10 0 0 10 -1 - 1 -3 100 Oc. 0 -1 1. - 3 OD. - 1 10 - 3 0 - 1 10 -1 11 10 The solution set is ( D} (Simplify your answers.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution.
X+ y- z= -3
3x - y+ z=
-x + 3y - 2z = 1
Use the Gaussian elimination method to obtain the matrix in row-echelon form. Choose the correct answer below
1 1
-3
11
-1
- 3
O A.
0 1
-3
-1
OB.
0 1 -1- 3
0 0
10
10
- 1
-1
-3
1 0 0 -3
Oc.
0 -1
- 3
OD.
1 10-3
0 -1
10
11 1 10
The solution set is ( D}
(Simplify your answers.)
Transcribed Image Text:Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution. X+ y- z= -3 3x - y+ z= -x + 3y - 2z = 1 Use the Gaussian elimination method to obtain the matrix in row-echelon form. Choose the correct answer below 1 1 -3 11 -1 - 3 O A. 0 1 -3 -1 OB. 0 1 -1- 3 0 0 10 10 - 1 -1 -3 1 0 0 -3 Oc. 0 -1 - 3 OD. 1 10-3 0 -1 10 11 1 10 The solution set is ( D} (Simplify your answers.)
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