7. Let E = {1, x, x²} be the standard basis of P₂ (R), and the linear transformation T: P2 (R) → P2₂(R) satisfies: T(1)=1+2x, T(x)=x+2 , T(1+x)=2+. Find the matrix representation of T relative to the bases E and E, i.e., [T]E.
7. Let E = {1, x, x²} be the standard basis of P₂ (R), and the linear transformation T: P2 (R) → P2₂(R) satisfies: T(1)=1+2x, T(x)=x+2 , T(1+x)=2+. Find the matrix representation of T relative to the bases E and E, i.e., [T]E.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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