Let P3 be the vector space of polynomials of degree 3 or less. Define T: P3 → P3 to be the linear transformation T(p(x)) = 2p(-2x). Define B = {1, x, x², x³}, which is a basis for P3. Find the matrix [T]Â.
Let P3 be the vector space of polynomials of degree 3 or less. Define T: P3 → P3 to be the linear transformation T(p(x)) = 2p(-2x). Define B = {1, x, x², x³}, which is a basis for P3. Find the matrix [T]Â.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 54EQ
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