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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 W₁W₂? (a) 5 (b) 10 (c) 15 (d) 20

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 W₁W₂? (a) 5 (b) 10 (c) 15 (d) 20

Advanced Engineering Mathematics
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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i need answers for 6 and 7

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 W₁W₂? (a) 5 (b) 10 (c) 15 (d) 20
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 W₁W₂? (a) 5 (b) 10 (c) 15 (d) 20
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