MA 35100 Lecture Notes - Lecture 14: List Of World War Ii Torpedoes Of Germany, Free Variables And Bound Variables
Document Summary
Rises 23: 2 : dimension (cid:8869) see handout. Dimension : the dimension of a v. s . There is some spanning set for u of size n. There is no spanning set for v of size n - i: e. dim (v) = size of the smallest spanning set for v. " special case : the aim ( { 0 } ) = o. " the aim v = size of any basis for v ( in particular, any bases of u have the same size) Suppose v = span { a , " then any set of elements of u of size > n is linearly: g. we know # 3 = span { [ &] , [ 8] , dependent . so. , [ ] [ & ] } must be linearly independent . If the dim ( v) = n. , every basis for v has size n .
