In Exercises 1-4, W is a subspace of the vector space V of all (2 x 2) matrices. A matrix A in W is written as a b ^=[%] A c d In each case exhibit a basis for W. 1. W = {A: a+b+c+d=0} 2. W = {A: a = -d, b=2d, c = -3d} 3. W = {A: a = 0} 4. W = {A: b = a - c, d = 2a + c}

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