Solve using Gauss-Jordan elimination. X1 - X2 + 0.3 X3 - - 4x, + 7x2 - 3x3 + 3X4 = 8x3 - 4x4 = X4 = %3D 1 3x1 + 3.5 4x1 - 3x2 + 2x3 + X4 = - 3.1 Select the correct choice below and fill in the answer box(es) within your choice. The unique solution is x1 O A. (Simplify your answers.) |, X3 = and x4 %3D %3D %3D %3D and x4 = t. The system has infinitely many solutions. The solution is x, = , x2 =, X3 = В. (Simplify your answers. Type expressions using t as the variable.) The system has infinitely many solutions. The solution is x, =, x2 = X3 = s, and xA =t. OC. (Simplify your answers. Type expressions using s and t as the variables.) O D. There is no solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve using Gauss-Jordan elimination.
X1 - X2 +
0.3
X3 -
- 4x, + 7x2 - 3xg + 3x4 =
8x3 - 4x4 =
X4 =
%3D
1
3x1 +
3.5
4x, - 3x2 + 2x3 +
X4 = - 3.1
Select the correct choice below and fill in the answer box(es) within your choice.
The unique solution is x1
O A.
(Simplify your answers.)
|, X3 =
and x4
%3D
%3D
%3D
The system has infinitely many solutions. The solution is x, = , x2 =, X3 =
В.
(Simplify your answers. Type expressions using t as the variable.)
and
X4
= t.
The system has infinitely many solutions. The solution is x, = , X2 =
X3 = s, and xa = t.
Oc.
(Simplify your answers. Type expressions using s and t as the variables.)
O D. There is no solution.
Transcribed Image Text:Solve using Gauss-Jordan elimination. X1 - X2 + 0.3 X3 - - 4x, + 7x2 - 3xg + 3x4 = 8x3 - 4x4 = X4 = %3D 1 3x1 + 3.5 4x, - 3x2 + 2x3 + X4 = - 3.1 Select the correct choice below and fill in the answer box(es) within your choice. The unique solution is x1 O A. (Simplify your answers.) |, X3 = and x4 %3D %3D %3D The system has infinitely many solutions. The solution is x, = , x2 =, X3 = В. (Simplify your answers. Type expressions using t as the variable.) and X4 = t. The system has infinitely many solutions. The solution is x, = , X2 = X3 = s, and xa = t. Oc. (Simplify your answers. Type expressions using s and t as the variables.) O D. There is no solution.
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