MATH 115AH Lecture Notes - Lecture 5: If And Only If, Craps, Surjective Function
Document Summary
Let: w be vstt , a map. W is called a linear transformations . if tv . u c- v. T i lv , t vz ) = Let: w be vstf then the following are linear transformations . Lu i v w by vi v c2dv ) Wrs w inclusion map . note : inc. , v vslf ) iff inc : w v is a. 4 > omit c fix i ) . , dnt c fix i ) . ith bi . W is linear then: ker t at . Cw is is a subspace a subspace . D . dim v dim kart t dim im t . dim. "v a are f- dust f- d subspaces . Ee spans image . for ker t basis for for im t . B is a basis for u v dy t. Lmao t dint , turnt , t t antun c-
