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1. Let V be the set of 2-by-2 matrices with coefficients in R. Let W1 x -x be all matrices of the form and W2

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1. Let V be the set of 2-by-2 matrices with coefficients in R. Let W1 x -x be all matrices of the form and W2 all matrices of the form y Z a b - a) Prove that W, and W2 are subspaces of V. [2] b) Find the dimensions of W1, W2, WitW2 and WinW2. Is WitW2 a direct sum? [2]

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