Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. 7x +23y + z= 13 3x + 10y +3z= -2 X+ 3y-5z = 8 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. O A. There is one solution. The solution is (Simplify your answers.) O B. There are infinitely many solutions. The solutions are z), where z is any real number. (Simplify your answers. Type expressions using z as the variable.) O C. There is no solution.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 4CEXP
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Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists.
7x+23y + z= 13
3x +10y+ 3z = -2
X+3y-5z 8
Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
O A. There is one solution. The solution is ( D
(Simplify your answers.)
O B. There are infinitely many solutions. The solutions are
z), where z is any real number.
(Simplify your answers. Type expressions using z as the variable.)
O C. There is no solution.
Transcribed Image Text:Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. 7x+23y + z= 13 3x +10y+ 3z = -2 X+3y-5z 8 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. O A. There is one solution. The solution is ( D (Simplify your answers.) O B. There are infinitely many solutions. The solutions are z), where z is any real number. (Simplify your answers. Type expressions using z as the variable.) O C. There is no solution.
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