4. Consider the linear map f : R1[X] → R1[X] given by f(ao + a1X) = (2ao +3a1)+ (ao – a1)X. Find the standard matrix Af corresponding to this linear map relative to the standard basis of R1 X]. Is f an isomorphism of vector spaces? Justify your answer.
4. Consider the linear map f : R1[X] → R1[X] given by f(ao + a1X) = (2ao +3a1)+ (ao – a1)X. Find the standard matrix Af corresponding to this linear map relative to the standard basis of R1 X]. Is f an isomorphism of vector spaces? Justify your answer.
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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