Question: Question 2 (10 points) Definition: An Affine Linear Transformation T : R - Rm is of the form T(x ) = A(x ) + b,

Question 2 (10 points) Definition: An Affine Linear Transformation T : R" - Rm is of the form T(x ) = A(x ) + b, where A is an m x n matrix and b E Rm. Let L be the set of all Affine Linear Transformations from R" to Rm. (1) Is L a vector space? Justify your answer. (2) Consider an Affine Linear Transformation S : R2 - R2 such that S ( * ) = N 3 5 Find the kernel and range of S

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