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Q1: Let T : Rm → Rn be any linear transformation, and denote by 0m the...

Q1: Let T : Rm → Rn be any linear transformation, and denote by 0m the origin of Rm, that is, this is the vector in Rm with all entries equal to zero. Show that T(0m) = 0n.

Q2: Give an example of two linear transformations of the plane such that the matrices that represent the transformations do not commute.

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