Question: Q2. Let V = {(a, b, c, d) : b + 2c + d = 0} and W = {(a,b, c, d) : a

Q2. Let V = {(a, b, c, d) : b + 2c

Q2. Let V = {(a, b, c, d) : b + 2c + d = 0} and W = {(a,b, c, d) : a + 2b = 0, c = 5d} be two subspaces of R*. Find the bases and dimensions for V, W,V + W and Vn W. Q3. If T: R* R be a linear transformation defined by: T(x, y, z, t) = (x + 2y + 3z + 2t, 2x + 4y + 7z + 5t,x + 2y + 6z + 5t), then find the dimensions and bases of Kernel and Image of T.

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