5. Let W be a subspace of a 10-dimensional inner product space V. If dim W = 6, what is dim W¹? (a) 6 (b) 5 (c) 4 (d) 10

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 73CR
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Answers for 5 & 6 please

(2/3)
4. Let W be the subspace of R³ spanned by w₁ = 1/3 and ₂
=
2/3
the orthogonal projection of 1 onto W.
44
G
(a)
(6)
11
(b)
7
∙11
(c)
(-2/3)
2/3
1/3
Which of the following is
(d)
5. Let W be a subspace of a 10-dimensional inner product space V. If dim W
(a) 6
(b) 5
(c) 4
(d) 10
1
−11
6, what is dim W-?
Transcribed Image Text:(2/3) 4. Let W be the subspace of R³ spanned by w₁ = 1/3 and ₂ = 2/3 the orthogonal projection of 1 onto W. 44 G (a) (6) 11 (b) 7 ∙11 (c) (-2/3) 2/3 1/3 Which of the following is (d) 5. Let W be a subspace of a 10-dimensional inner product space V. If dim W (a) 6 (b) 5 (c) 4 (d) 10 1 −11 6, what is dim W-?
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