其中,bu1b/2binaa12anb2b22bma21a22annA=B=(bu bm2 .. ban)anan2ann..n;=aie +a2ic2 +...+amen, i=1,2,...,n于是有g, =bjfi+b2jf, +...+bmJn, j=1,2,..,ng,(ni) =(b,fi+b2,f +..+bmf.)(a,e, +a2ie2 +...+anen)-y a+p+ a +o即 B'=A-"或 B=(A-")'=(A)-1所以,B'A=E.810.2对偶空间区§10.2 对偶空间 11 12 1 11 12 1 21 22 21 22 1 2 1 2 , n n nn nn n n nn n n nn a a a b b b a a a b b b A B a a a b b b = = 其中, 1 1 2 2 , 1,2, , i i i ni n 于是有 = + + + = a a a i n 1 1 2 2 , 1,2, , j j j nj n g b f b f b f j n = + + + = 1 1 2 2 1 1 2 2 ( ) ( )( ) j i j j nj n i i ni n = + + + + + + g b f b f b f a a a 1 1 2 2 1, . 0, j i j i nj ni i j b a b a b a i j = = + + + = 所以,B A E ' . = 即 或 1 B A ' − = 1 1 B A A ( )' ( ') . − − = =