Question

Define : ℙ4 ⟶ ℝ3 by T(p) = [
P(2)
P(−1)
P(0)
].
a) Find the image under of p(t) = 2 − t
4
.
b) Show that is a linear transformation.
c) Find the matrix for relative to the basis {1,t,t
2
,t
3
,t
4
} for ℙ4 and the standard basis for ℝ3
.

Answer 1

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