Define linear transformations S: P1 P2 and T: P2 P1 by S(a + bx) =
Question:
T: P2 → P1 by
S(a + bx) = a + (a + b )x + 2bx2
and T(a + bx + cx2) = b + 2cx
Compute (S ͦ T) (3 + 2x - x2) and
(S ͦ T) (a + bx + cx2). Can you compute
(T ͦ S) (a + bx)? If so, compute it.
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We have S T3 2x x 2 ST3 2x x 2 S2 2 1 x S2 2x 2 2 2 x 2 2x 2 2 ...View the full answer
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