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Linear Transformations

Linear Transformations. Fall 2009. Definitions. Let V and W be vector spaces. A function L:V ? W is called a linear transformation of V into W if a) L( u + v ) = L( u ) + L( v ) b) L( c u ) = c L( u ) for u ? V and real c If V = W, then L is called a linear operator.

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Linear Transformations