tut6 - a b c a ³´ ´ ´ ´ a,b,c ∈ R µ and let ± W =...

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Math 136 Tutorial 6 Section 4-3 Exercises A1. b) A4. b) Section 4-4 Exercises A1. b) A5. Non-text problems 1) Prove if S and W are finite dimensional subspaces of a vector space V then dim( S + W ) = dim( S ) + dim( W ) - dim( S W ) Where S + W = { s + w | s S, w W } . 2) Let S = ±²
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Unformatted text preview: a b c a ³´ ´ ´ ´ a,b,c ∈ R µ and let ± W = ² a-a b ³´ ´ ´ ´ a,b ∈ R µ . Prove that S and W are subspaces of M 22 , and find the dimensions of S , W , S + W and S ∩ W...
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