但 (ε;)=0,i=1,2,...,r... 0(V) = L(o(8r+1),...,o(8n))下证(sr+),,(cn)为o(V)的一组基,即证它们线性无关。设k+10(8r+1)+...+k,o(sn)=0则有 o(kr+18r+1 ++k,en)=0.. 5=kr+1er+1 +...+k,e,Eo-'(0)即可被81,82,,8线性表出67.6线性变换的值域与核区区§7.6 线性变换的值域与核 但 ( ) 0, 1,2, , . i = =i r = ( ) ( ), , ( ) V L( r n +1 ) 设 1 1 ( ) ( ) 0 r r n n k k + + + + = 则有 ( 1 1 ) 0 r r n n k k + + + + = 1 1 1 (0) r r n n k k − = + + + + 下证 ( ), , ( ) r n +1 为 ( ) V 的一组基,即证它们 即 可被 1 2 线性表出. , , , r 线性无关