Solve using Gauss-Jordan elimination. X1 - X2+ X3 - - 4x1 + 7x2 3x3 + 2x₁ + x₂ + 5x3 + 3x₁2x2 + x3 - 3х4 = 2 17x4 = -11.5 X4 = -0.7 2x4 = 0.1 Select the correct choice below and fill in the answer box(es) within your choice. O A. B. ₁ The unique solution is x₁ = x₂ = x3 = and X4 = (Simplify your answers.) .... The system has infinitely many solutions. The solution is x₁ = , x2 = (Simplify your answers. Type expressions using t as the variable.) O C. The system has infinitely many solutions. The solution is x₁ = x₂ = (Simplify your answers. Type expressions using s and t as the variables.) D. There is no solution. X3 = and X4 = t. X3 = and x4 = t.

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.
3x4
+
X₁ X2 X3 -
- 4x1 + 7x2 3x3 +
2x₁ + x₂ + 5x3 +
3x12x2 + x3 - 2x4 =
O A.
-
OB.
2
17x4 = -11.5
X4 = -0.7
0.1
-
Select the correct choice below and fill in the answer box(es) within your choice.
=
1
The unique solution is x₁ = x₂ = x3 = and X4 =
X3
(Simplify your answers.)
The system has infinitely many solutions. The solution is x₁
(Simplify your answers. Type expressions using t as the variable.)
1
, X2 =
3
O C.
The system has infinitely many solutions. The solution is x₁
X2 =
(Simplify your answers. Type expressions using s and t as the variables.)
D. There is no solution.
X3 =
and x4 = t.
X3 = and x4 = t.
Transcribed Image Text:Solve using Gauss-Jordan elimination. 3x4 + X₁ X2 X3 - - 4x1 + 7x2 3x3 + 2x₁ + x₂ + 5x3 + 3x12x2 + x3 - 2x4 = O A. - OB. 2 17x4 = -11.5 X4 = -0.7 0.1 - Select the correct choice below and fill in the answer box(es) within your choice. = 1 The unique solution is x₁ = x₂ = x3 = and X4 = X3 (Simplify your answers.) The system has infinitely many solutions. The solution is x₁ (Simplify your answers. Type expressions using t as the variable.) 1 , X2 = 3 O C. The system has infinitely many solutions. The solution is x₁ X2 = (Simplify your answers. Type expressions using s and t as the variables.) D. There is no solution. X3 = and x4 = t. X3 = and x4 = t.
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