Given the following vectors u and v, find a vector w in R3 so that {u, v, w} spans R3 and a non-zero vector z in R3 so that {u, v, z} does not span R3. u- ܝ ܗ ܗ -5 0 w= [0 0 V= ܗ ܩ -4 0 z=10 .
Given the following vectors u and v, find a vector w in R3 so that {u, v, w} spans R3 and a non-zero vector z in R3 so that {u, v, z} does not span R3. u- ܝ ܗ ܗ -5 0 w= [0 0 V= ܗ ܩ -4 0 z=10 .
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Given the following vectors u and v, find a vector w in R³ so that {u, v, w} spans R3 and a non-zero vector z in R³ so that {u, v, z} does not span
R3
u=
ܝ ܗ ܗ
-5
0
W = 0
0
V =
5
-4
9
0
z = 0
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80321e65-f5af-4407-990e-2a73bdb503ea%2Fa631ad71-9474-40be-9b98-c7ebc0519caa%2Fv61bp5ln_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the following vectors u and v, find a vector w in R³ so that {u, v, w} spans R3 and a non-zero vector z in R³ so that {u, v, z} does not span
R3
u=
ܝ ܗ ܗ
-5
0
W = 0
0
V =
5
-4
9
0
z = 0
0
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