Solve using Gauss-Jordan elimination. 2x1 - 4x2 + 9x3 = - 13 3x, + 19x2 - 45x3 = - 28 X1 + 3x2 - 7x3 = -8 ..... Write the system of equations as an augmented matrix. - 13 - 45 Solve the system. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. The unique solution is x, = | and x3

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CT: Chapter Test
Problem 9CT
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Solve using Gauss-Jordan elimination.
2x1 - 4x2 +
3x, + 19x2 - 45x3 = - 28
3x2 -
9x3 = - 13
X1 +
7x3 = -8
Write the system of equations as an augmented matrix.
13
45
Solve the system. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
The unique solution is x, =
O A.
(Simplify your answers.)
,X2 =
and x3 =
The system has infinitely many solutions. The solution is x, =
and x3 =t.
X2 =
(Simplify your answers. Type expressions using t as the variable.)
OB.
The system has infinitely many solutions. The solution is x, =
X2 = s, and x, =t.
OC.
(Simplify your answer. Type an expression using s and t as the variables.)
O D. There is no solution.
Transcribed Image Text:Solve using Gauss-Jordan elimination. 2x1 - 4x2 + 3x, + 19x2 - 45x3 = - 28 3x2 - 9x3 = - 13 X1 + 7x3 = -8 Write the system of equations as an augmented matrix. 13 45 Solve the system. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. The unique solution is x, = O A. (Simplify your answers.) ,X2 = and x3 = The system has infinitely many solutions. The solution is x, = and x3 =t. X2 = (Simplify your answers. Type expressions using t as the variable.) OB. The system has infinitely many solutions. The solution is x, = X2 = s, and x, =t. OC. (Simplify your answer. Type an expression using s and t as the variables.) O D. There is no solution.
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