Proof Let T: R2R2 such that T(v) = Av + b, whereA is a 2 2

Chapter 6, Problem 6.66

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Proof Let T: R2R2 such that T(v) = Av + b, whereA is a 2 2 matrix. (Such a transformation is calledan affine transformation.) Prove that T is a lineartransformation if and only if b = 0.

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