MA 35100 Lecture Notes - Lecture 3: Linear Combination, If And Only If, Mexican Peso
Document Summary
" a set s = { a , Ak} c- mcm , n ) is linearly independent if c , ai + cz az - . and iff c , Ckak = 0 happens linearly dependent if not independent . [ 8 ] : ] , [ i ] , Dependent : [ &] = [ " :{ 1 : : : ] . li : :] } Dependent : 2 [ : ] + 2 [ . Independent because it"s alone (except for { 0 }) Ak } m ( min ) . Suppose that for each ae there is an index ci , j) such that ae has nonzero ( i , j) entry and that all other ap have zero ci. C , al + cz az + c 3 a 3. " in 1122 , a set of > 2 vectors must be 1in . dep .
