Assignment 4

Assignment 4 - MATH 223 Linear Algebra Winter 2008...

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MATH 223, Linear Algebra Winter, 2008 Assignment 4, due in class Wednesday, February 6, 2008 1. Let V = Z 4 2 and W 1 = Span 1 0 1 0 , 0 1 0 1 and W 2 = Span 0 1 1 0 , 1 0 0 1 and be subspaces of V . Find a basis for W 1 + W 2 and one for W 1 W 2 . 2. Let V = C 5 and W 1 = Span 1 i 1 i 1 , 2 i - 1 1 + i 0 2 , 4 3 i 3 - i 2 i 2 - 2 i , 2 + 2 i - 1 + 2 i 3 + i 1 + 2 i 4 and W 2 = Span 2 + 3 i - 2 + 2 i 4 + 2 i 2 i 5 + i , 1 + 3
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