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.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 12CM
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Let A = {(1,1), (0, –1)} and B = {x, 1} bases of R? 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
Mộ (T) = (7 )
a) Obtain the correspondence rule of the transformation T.
b) Obtain the correspondence rule, if it exists, of T-1.
Transcribed Image Text:Let A = {(1,1), (0, –1)} and B = {x, 1} bases of R? 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 Mộ (T) = (7 ) a) Obtain the correspondence rule of the transformation T. b) Obtain the correspondence rule, if it exists, of T-1.
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