0 0 , V2 1 1. Let vi and H Span{v1, V2, V3}. Note that vi v2 2 2v3 0 V3 5 -1 4 0 2 2] a) Explain why the set A {v1,V2, V3} is not a basis for H [4] b) Explain why the set B = {vi, V2} is a basis for H.
0 0 , V2 1 1. Let vi and H Span{v1, V2, V3}. Note that vi v2 2 2v3 0 V3 5 -1 4 0 2 2] a) Explain why the set A {v1,V2, V3} is not a basis for H [4] b) Explain why the set B = {vi, V2} is a basis for H.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![0
0
, V2
1
1. Let vi
and H Span{v1, V2, V3}. Note that vi v2
2
2v3 0
V3
5
-1
4
0
2
2] a) Explain why the set A {v1,V2, V3} is not a basis for H
[4] b) Explain why the set B =
{vi, V2} is a basis for H.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf2e2413-2c8a-44ad-853b-7e91bd809c7c%2F0ef83c1f-fa37-471e-9450-b25f2f96fcf2%2Fmqoqw05.jpeg&w=3840&q=75)
Transcribed Image Text:0
0
, V2
1
1. Let vi
and H Span{v1, V2, V3}. Note that vi v2
2
2v3 0
V3
5
-1
4
0
2
2] a) Explain why the set A {v1,V2, V3} is not a basis for H
[4] b) Explain why the set B =
{vi, V2} is a basis for H.
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