In each case, find the matrix of T:V †’ W corresponding to the bases B and D, respectively, and use it to compute CD[T(v)], and hence T(v).
a. T: R3 †’ R4,
T(x,y,z) = (x + z,2z,y - z, x + 2); B and D standard; v = 1,/-1,3
b. T: R2 †’ R4, T(x,y) = (2x - y, 3x + 2y, 4y,x);
B = [(1,1),(1,0)}, D standard; v = (a,b)
c. T: P2 †’ R2, T (a + bx + cx2) = (a + c, 2b);
B = [1, x, x2], D = {(1,0),(1,-1)};
v = a + bx + cx2
d. T: P2 †’ R2, T(a + bx cx2) = a + b,c);
B = (1,x, x2), D ={(1,-1),(1,1);
v = a + bx + cx2
(e) T: M22 †’ R,T

= a + b + c + d;

f.

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