Linear Transformations - Stanford University
Linear Transformations The two basic vector operations are addition and scaling. From this perspec-tive, the nicest functions are those which \preserve" these operations: Def: A linear transformation is a function T: Rn!Rm which satis es: (1) T(x+ y) = T(x) + T(y) for all x;y 2Rn (2) T(cx) = cT(x) for all x 2Rn and c2R.
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