21. Let V₁ 224 = 0 −1 0 Let V₁ = , V₂ = 0 [9] -2 -1 1 Does (V1, V2, V3} span R4? Why or why not? uiya vas va 0 4 -3 8 V2 = , V3 = 0 V3 = 1 -5 67 Does {V1, V2, V3} span R³? Why or why not? p

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

21

por.
21. Let V₁ =
3
0
122 Let V₁ =
22
∙1
V2 =
0
, V3 =
1
Does (V1, V2, V3} span R4? Why or why not?
Aleiva vns vitosbl fontsup
0
4
0
-1
1-5
-----
= -3, V3
, V3 =
0
1
-2
8
mva
DQ
Does {V1, V2, V3} span R³? Why or why not?
28 Mol
Transcribed Image Text:por. 21. Let V₁ = 3 0 122 Let V₁ = 22 ∙1 V2 = 0 , V3 = 1 Does (V1, V2, V3} span R4? Why or why not? Aleiva vns vitosbl fontsup 0 4 0 -1 1-5 ----- = -3, V3 , V3 = 0 1 -2 8 mva DQ Does {V1, V2, V3} span R³? Why or why not? 28 Mol
Expert Solution
Step 1

21. The given vectors are v1=10-10, v2=0-101, v3=100-1.

22. The given vectors are v1=00-2, v2=0-38, v3=4-1-5.

We have check the vectors spans the give vector space.

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