Question:

Let T: P₂ P₂ be the linear operator defined as T (p(x)) =

Last updated: 8/3/2022

Let T: P₂ P₂ be the linear operator defined as T (p(x)) =

Let T: P₂ P₂ be the linear operator defined as T (p(x)) = p(3x), and let B = (1, x, x²] be the standard basis for P₂- Find [T]g, the matrix for T relative to B. Let p(x) = 1-x+4x². Determine [p(x)]g, then find 7(p(x)) using [7], from part a. Check your answer to part b by evaluating 7(1-x + 4x²) directly.