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# hw2 - V Prove that the inter-section W 1 ∩ W 2 is also a...

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MATH 4377, ADVANCED LINEAR ALGEBRA, SUMMER 2011, HW#2 Due date: Thursday, June 9 1. Determine if the following subsets of M 2 × 2 ( R ) is ars subspaces (you may assume that the operations on M 2 × 2 ( R ) are the usual addition and scalar multiplication. (a) ( a 1 a 2 0 a 4 ! ; a 1 , a 2 , a 4 R ) . (b) ( a 1 a 2 a 2 a 4 ! ; a 1 , a 2 , a 4 R ) . 2. Let W 1 , W 2 be two subspaces of a vector space
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Unformatted text preview: V . Prove that the inter-section W 1 ∩ W 2 is also a subspace of V . 3. Problem 19 on Page 21. 4. Probelm 5 (c), (g) on Page 34. 5. Problem 6 on Page 34 6. Problem 9 on Page 34 7. Problem 8 on Page 34. 8. Problem 5 on Page 41. 1...
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