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a) Is there exists a linear map T: R² → R² for which T(7,7) = (4,-5) and T(2,2) = (8,-2)? Justify your answer. %3D %3D

a) Is there exists a linear map T: R² → R² for which T(7,7) = (4,-5) and T(2,2) = (8,-2)? Justify your answer. %3D %3D

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 22EQ: In Exercises 20-25, find the standard matrix of the given linear transformation from2to 2....
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a) Is there exists a linear map T: R² → R² for which T(7,7) = (4,-5) and T(2,2) = (8,-2)? Justify your answer. %3D %3D b) Find the standard matrix of linear transformation from R2 to R2 about the projection onto the line y = = V14x. 3.
Transcribed Image Text:a) Is there exists a linear map T: R² → R² for which T(7,7) = (4,-5) and T(2,2) = (8,-2)? Justify your answer. %3D %3D b) Find the standard matrix of linear transformation from R2 to R2 about the projection onto the line y = = V14x. 3.
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