Let A = {(1,1), (0, –1)} and B = {x, 1} bases of R² and P, and the linear transformation T:R? → P, where P is the vector space of polynomials of degree less than or equal to one, such that MA(T) = ( ) a) Obtain the correspondence rule of the transformation T. b) Obtain the correspondence rule, if it exists, of T-1.
Let A = {(1,1), (0, –1)} and B = {x, 1} bases of R² and P, and the linear transformation T:R? → P, where P is the vector space of polynomials of degree less than or equal to one, such that MA(T) = ( ) a) Obtain the correspondence rule of the transformation T. b) Obtain the correspondence rule, if it exists, of T-1.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 4EQ
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