Mathematics II - Old Questions

14. The mapping  defined by T(a0 + a1t + a2t2) = a1 + 2a2t is a linear transformation.

a) Find the matrix for T, when is the basis {1, t, t2}.

b) Verify that [T(p)]B = [T]B[p]B for each p in P2.

4 marks | Asked in 2074