12. Solve the system of lincar equations using Gauss-Jordan Elimination. Technology is allowed. If you prefer to solve by hand, I have completed the first few steps; you can finish. (6) x+ 2y + 3z-1 2x+3y +4z-3 x+ 2y + z-3 [1 2 3 2. 3. 1 11 2 3 4 3 21 3 - 2R3 + R2 NR2 0 -1 -3 11 3. -5) 1. -3 2 3 7. 2 -1 -3 2R2 + R1 = NR1 -1 -1R1 + R3 = NR3 lo 2 -2 -2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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12. Solve the system of linear equations using Gauss-Jordan Elimination. Technology is allowed. If you
prefer to solve by hand, I have completed the first few steps; you can finish. (6)
3
1
[1
-1
x+2y + 3z = 1
2x + 3y + 4z=3
x+2y+ z=3
2 3
1]
4
3
1 3]
2 -3
2R3 + R2 = NR2
[1
2
1
3
[1
-51
-3
0 -2
2
[1
0.
-1R1+ R3 = NR3
0 -1
2
-3
2R2 + R1 = NR1
0 -1
0 -2
21
Transcribed Image Text:12. Solve the system of linear equations using Gauss-Jordan Elimination. Technology is allowed. If you prefer to solve by hand, I have completed the first few steps; you can finish. (6) 3 1 [1 -1 x+2y + 3z = 1 2x + 3y + 4z=3 x+2y+ z=3 2 3 1] 4 3 1 3] 2 -3 2R3 + R2 = NR2 [1 2 1 3 [1 -51 -3 0 -2 2 [1 0. -1R1+ R3 = NR3 0 -1 2 -3 2R2 + R1 = NR1 0 -1 0 -2 21
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