A linear map T : Rª → R³ is determined by: T(u₁)=v₁, T(u₂)=2v₂, T(U3)= T(u4) = 0, (c) Give the standard matrix of T, i.e., in terms of the standard bases for Rª and R³. (d) Give a basis for the image of T. (e) Give a basis for the kernel of T.
A linear map T : Rª → R³ is determined by: T(u₁)=v₁, T(u₂)=2v₂, T(U3)= T(u4) = 0, (c) Give the standard matrix of T, i.e., in terms of the standard bases for Rª and R³. (d) Give a basis for the image of T. (e) Give a basis for the kernel of T.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 1AEXP
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