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(b) (pollies) Find a basis D- (01, 02 ) for V whose dual basis is C , L.e., 4. Let F = Z3 and let

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(b) (pollies) Find a basis D- (01, 02 ) for V whose dual basis is C , L.e., 4. Let F = Z3 and let V = F2. Let E = (e1, e2) denote the standard basis for V. A basis for V V is given by EQ E = (e1 0 e1, e1 8 e2, e2 @ e1, e2 8 e2). (a) (3 points) Compute [(1, 2) @ (1, 1))]ESE. (b) (3 points) Let LA : V - V be the linear map defined via left multiplication with the matrix A = ( 1 3.) and let LB : V -> V be the linear map defined via left multiplication with the matrix B = (0 1). Compute the matrix [LA O LBJESE

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