Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. 7x4 + 23x2 + 6x3 = 16 3x, + 10x2 + 5x3 = -8 X1 + 3x2 - 4x3 = 5 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The unique solution is x, =, x2 = and x3 = B. The system has infinitely many solutions. The solution is x, =, x2 =, and x3 =t. (Simplify your answer. Type an expression using t as the variable.) C. The system has infinitely many solutions. The solution is x, = X2 =s, and IX3 =t. (Simplify your answer. Type an expression using s and t as the variables.) O D. There is no solution.
Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. 7x4 + 23x2 + 6x3 = 16 3x, + 10x2 + 5x3 = -8 X1 + 3x2 - 4x3 = 5 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The unique solution is x, =, x2 = and x3 = B. The system has infinitely many solutions. The solution is x, =, x2 =, and x3 =t. (Simplify your answer. Type an expression using t as the variable.) C. The system has infinitely many solutions. The solution is x, = X2 =s, and IX3 =t. (Simplify your answer. Type an expression 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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Question
Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists.
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7x1
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+
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23x2
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+
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6x3
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=
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16
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3x1
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10x2
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+
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5x3
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=
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−8
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x1
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3x2
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−
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4x3
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=
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5
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Transcribed Image Text:Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists.
7x1 + 23x2 + 6x3 = 16
Зх1 + 10х2 + 5xз
X1 + 3x2 - 4x3 =
= - 8
5
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The unique solution is X, = , X2 = , and x3
B. The system has infinitely many solutions. The solution is x, =
, and x3 = t.
, X2
(Simplify your answer. Type an expression using t as the variable.)
O C. The system has infinitely many solutions. The solution is x, =
, X2 = s, and x3 = t.
(Simplify your answer. Type an expression using s and t as the variables.)
O D. There is no solution.
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