Given the following vectors u and v, find a vector w in R4 so that {u, v, w} is linearly independent and a non-zero vector z in R4 so that {u, v, z} is linearly dependent: u= 1594 -9 0 W = 0 0 !! V 4 FOT 0 z = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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Given the following vectors u and v, find a vector w in R4 so that {u, v, w} is linearly independent and a non-zero vector z in R4 so that {u, v, z} is linearly dependent:
1
4
-10
u
||
W =
011
5
0
0
0
||
-1
0
[8]
z = 0
Transcribed Image Text:Given the following vectors u and v, find a vector w in R4 so that {u, v, w} is linearly independent and a non-zero vector z in R4 so that {u, v, z} is linearly dependent: 1 4 -10 u || W = 011 5 0 0 0 || -1 0 [8] z = 0
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