Question: Prove that T: Rn Rm is a linear transformation if and only if T (c1v1 + c2v2) = c1T(v1) + c2T (v2) For all

Prove that T: Rn → Rm is a linear transformation if and only if
T (c1v1 + c2v2) = c1T(v1) + c2T (v2)
For all v1, v2 in Rn and scalars c1, c2

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