3 -1 2. Let v1 = be vectors in Rª. -2 1 (a) Show that the set {u1, 02, 03} is linearly dependent. (b) Let H Span(71, 02, 03) be the subspace of R' spanned by the set {u1, ü2, 03}. Find two different bases B, and B2 of H. Justify your answer.
3 -1 2. Let v1 = be vectors in Rª. -2 1 (a) Show that the set {u1, 02, 03} is linearly dependent. (b) Let H Span(71, 02, 03) be the subspace of R' spanned by the set {u1, ü2, 03}. Find two different bases B, and B2 of H. Justify your answer.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...
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Please show all your work please. Be clear
![1
2. Let ūj ==
be vectors in Rª.
2
2
-2
1
1
(a) Show that the set {v1, 02, 03} is linearly dependent.
(b) Let H = Span(71, 02, 03) be the subspace of R spanned by the set {ū1, 02, 03}. Find two different
bases B1 and B2 of H. Justify your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9b91490-7014-4990-b9a4-62583a5b405c%2Fbb7c248c-219e-40ee-ab59-312b7b7adfb5%2Fknuuzzp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1
2. Let ūj ==
be vectors in Rª.
2
2
-2
1
1
(a) Show that the set {v1, 02, 03} is linearly dependent.
(b) Let H = Span(71, 02, 03) be the subspace of R spanned by the set {ū1, 02, 03}. Find two different
bases B1 and B2 of H. Justify your answer.
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