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
icon
Related questions
Question
100%
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.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage