GOAL Use Gauss-Jordan elimination to solve linear systems. Do simple problems using paper and pencil, and use technology to solve more complicated problems. In Exercises 1 through 12, find all solutions of the equations with paper and pencil using Gauss-Jordan elimination. Show all your work. 11. | x 1 + 2 x 3 + 4 x 4 = − 8 x 2 − 3 x 3 − x 4 = 6 3 x 1 + 4 x 2 − 6 x 3 + 8 x 4 = 0 − x 2 + 3 x 3 + 4 x 4 = − 12 |
GOAL Use Gauss-Jordan elimination to solve linear systems. Do simple problems using paper and pencil, and use technology to solve more complicated problems. In Exercises 1 through 12, find all solutions of the equations with paper and pencil using Gauss-Jordan elimination. Show all your work. 11. | x 1 + 2 x 3 + 4 x 4 = − 8 x 2 − 3 x 3 − x 4 = 6 3 x 1 + 4 x 2 − 6 x 3 + 8 x 4 = 0 − x 2 + 3 x 3 + 4 x 4 = − 12 |
GOAL Use Gauss-Jordan elimination to solve linear systems. Do simple problems using paper and pencil, and use technology to solve more complicated problems.
In Exercises 1 through 12, find all solutions of the equations with paper and pencil using Gauss-Jordan elimination. Show all your work.
11.
|
x
1
+
2
x
3
+
4
x
4
=
−
8
x
2
−
3
x
3
−
x
4
=
6
3
x
1
+
4
x
2
−
6
x
3
+
8
x
4
=
0
−
x
2
+
3
x
3
+
4
x
4
=
−
12
|
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