#3: Use Gauss-Jordan Elimination to solve the following system of equations. 2x+ 2y-6z = 2 x+ 4y+3z = 5 6x+ 12y-6z = 14 (A) no solution (B) x=2t (Ox=1+\ D) y={-¾ (E)x=1-5¢ (F)

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 4AEXP
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Problem #3: Use Gauss-Jordan Elimination to solve the following system of equations.
2x+ 2y-6z = 2
x+ 4y+3z = 5
6x+ 12y-6z = 14
(A) no solution (B)
x=
(C) x =1+½; 0) y=}-& (E)x=1+5t (F) x=-², (G),=-}-4,
y=1-3
y=-21
y=-2r
y=1-?
y =1-
z=t
z=t
z=t
z=t
z = 1
(H)
y=1- y=- 21
z=t
z=t
Transcribed Image Text:Problem #3: Use Gauss-Jordan Elimination to solve the following system of equations. 2x+ 2y-6z = 2 x+ 4y+3z = 5 6x+ 12y-6z = 14 (A) no solution (B) x= (C) x =1+½; 0) y=}-& (E)x=1+5t (F) x=-², (G),=-}-4, y=1-3 y=-21 y=-2r y=1-? y =1- z=t z=t z=t z=t z = 1 (H) y=1- y=- 21 z=t z=t
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