Problem 6. Given the following vectors, let W = Span{v₁, v₂, V3}. 0·00 V3 (a) s) Is a in W? Why or why not? (b) (c) V₁ V₂ 3 2 Find a basis for W and give dim W. 's y in W, the orthogonal complement of W? y=

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
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Problem 6. Given the following vectors, let W = Span{vı, v2, vz}.
%3D
一目-因-目-目
3
0.
2
3
3
y =
V3
6
(a)
s) Is æ in W? Why or why not?
(b)
Find a basis for W and give dim W.
(c)
's y in W+, the orthogonal complement of W?
Transcribed Image Text:Problem 6. Given the following vectors, let W = Span{vı, v2, vz}. %3D 一目-因-目-目 3 0. 2 3 3 y = V3 6 (a) s) Is æ in W? Why or why not? (b) Find a basis for W and give dim W. (c) 's y in W+, the orthogonal complement of W?
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