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.
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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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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