If W₁ and W₂ are subspaces of V and dim W₁ (a) W₁ = W₂. (c) W₂ C W₁. dim W2, then (b) W₁ C W₂. (d) none of the above follows. =
If W₁ and W₂ are subspaces of V and dim W₁ (a) W₁ = W₂. (c) W₂ C W₁. dim W2, then (b) W₁ C W₂. (d) none of the above follows. =
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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Transcribed Image Text:6. If W₁ and W₂ are subspaces of V and dim W₁
(a) W₁ = W₂.
(c) W₂ C W₁.
dim W2, then
(b) W₁ C W₂.
(d) none of the above follows.
=
7. Let V be a 70-dimensional vector space and let W₁ and W₂ be 30-dimensional subspaces. What
is the smallest possible dimension of W₁ W₂?
(a) 5
(b) 10
(c) 15
(d) 20
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