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2. Let V = F2x2 where F = Z3 and let W =(2 4) eva+ 2c- (a) (3 points) Compute a basis for W. (b)

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2. Let V = F2x2 where F = Z3 and let W =(2 4) eva+ 2c- (a) (3 points) Compute a basis for W. (b) (3 points) Compute a basis for V/W. (c) (3 points) Let L : V - V be the linear map given by left multiplication with the matrix A = ()3). Does there exist a linear map L : V/W - V such that L(X + W) = L(X) for all X E V

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