Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. -x + y + z = -1 -x + 3y - 9z - 13 6x - 5y-11z = 0 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. There is one solution. The solution set is {D (Simplify your answers.) B. There are infinitely many solutions. The solution set is {(z)}, where z is any real number. (Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions.) O C. There is no solution. The solution set is Ø.

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.
Z = -1
9z = - 13
0
-x + y +
-x + 3y -
6x - 5y-11z=
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. There is one solution. The solution set is {(D)}.
(Simplify your answers.)
OB. There are infinitely many solutions. The solution set is {(z)}, where z is any real number.
(Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions.)
O C. There is no solution. The solution set is Ø.
Transcribed Image Text:Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. Z = -1 9z = - 13 0 -x + y + -x + 3y - 6x - 5y-11z= Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is one solution. The solution set is {(D)}. (Simplify your answers.) OB. There are infinitely many solutions. The solution set is {(z)}, where z is any real number. (Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions.) O C. There is no solution. The solution set is Ø.
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