{1, x, x²} and B₂ 1. Let B₁ {x − 3, x² − x − 1,2} be ordered bases of P₂ (R), and let C = {e₁,e2, e3} be the standard basis of R³. Let T € L(P₂(R), R³) be a linear transformation, and suppose that with respect to B₁ and C, its matrix is given by [1 1 1] 031 102 Find the matrix of T with respect to B₂ and C. = = M(T) =

{1, x, x²} and B₂ 1. Let B₁ {x − 3, x² − x − 1,2} be ordered bases of P₂ (R), and let C = {e₁,e2, e3} be the standard basis of R³. Let T € L(P₂(R), R³) be a linear transformation, and suppose that with respect to B₁ and C, its matrix is given by [1 1 1] 031 102 Find the matrix of T with respect to B₂ and C. = = M(T) =

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.6: Introduction To Linear Transformations

Problem 55EQ

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