Linear Systems. (a) Find the solution set of the homogeneous linear system below. x + y + 2z = 0 y 3z + w = 0 - 3x+y+z+2w = 0 x+3y2z2w=0

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.2: Systems Of Linear Equations In Several Variables
Problem 49E
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Linear Systems.
(a) Find the solution set of the homogeneous linear system below.
x + y + 2z
= 0
y 3z + w = 0
-
3x+y+z+2w
= 0
x+3y2z2w = 0
(b) Determine all ordered pairs (a, b) so that the linear system below has infinitely many
solutions.
x+y+az = 1
x+ay+ z = 4
ax + y +
z = b
Transcribed Image Text:Linear Systems. (a) Find the solution set of the homogeneous linear system below. x + y + 2z = 0 y 3z + w = 0 - 3x+y+z+2w = 0 x+3y2z2w = 0 (b) Determine all ordered pairs (a, b) so that the linear system below has infinitely many solutions. x+y+az = 1 x+ay+ z = 4 ax + y + z = b
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