Let V be the subspace of R' spanned by vi = (1, 3, -2, 2, 3 ), v (1, 4, -3, 4, 2 ), v3 (1, 3, 0, 2, 3) and W be the subspace spanned by w, ( 2, 3,-1, -2,9), w, (1, 5, -6, 6, 1 ), wy (2, 4, 4, 2, 8). Find a basis for V + W and VOw. Let T(x, y, z) (x-y+z, x + 2), S(x, y) (x, x-y, y) be two transformations. a) Find S T or T•S whenever it is defined and find the matrix representation [S Ta, where a = ((1, 1, 1), (1, 1, 0), (1, 0, 0)) and Bß (1, 0, 0), (0, 1, 0), (0, 0, 1)). shies

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