Use Gaussian elimination to find the complete solution to the system of equations, or show that none exists. w + 4x + 2y - z = 7 4x - 2y + z = 5 = 5 w - 8x + y Select the correct choice below and fill in any answer boxes within your choice. O A. There is one solution. The solution set is {} (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 expression.) OC. 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 system of equations, or show that none exists.
w + 4x + 2yz = 7
4x
2y + z = 5
8x + y
= 5
W
-
-
...
Select the correct choice below and fill in any answer boxes within your choice.
OA. There is one solution. The solution set is {()}. (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 expression.)
O C. There is no solution. The solution set is Ø.
Transcribed Image Text:Use Gaussian elimination to find the complete solution to the system of equations, or show that none exists. w + 4x + 2yz = 7 4x 2y + z = 5 8x + y = 5 W - - ... Select the correct choice below and fill in any answer boxes within your choice. OA. There is one solution. The solution set is {()}. (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 expression.) O C. There is no solution. The solution set is Ø.
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