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ÊÇÕâÑù£¬Õâ¸öÎÊÌâÎÒÓöµ½¹ýºÃ¼¸´Î£¬Ò»Ö±Ã»Óнâ¾ö¡£ÏÂÃæÊÇÎÊÌâµÄÑùÀý ÎÒÏÈ´´½¨Ò»¸örand¾ØÕó a = rand(5); ÇóÆäÄæ¾ØÕóa_inv a_inv = inv(a); ÔÙÇóÆä°éËæ¾ØÕóa_adj //adjº¯ÊýÔÚÎÄÄ©¸½ÉÏ a_adj = adj(a); °´ÕÕÏßÐÔ´úÊýµÄ½áÂÛ£¬a_inv = a_adj / |a| µ«ÊÇÔÚ³ÌÐòÀïÃæÎÒÊäÈ룺 a_inv == a_adj / det(a) ·µ»ØµÄÊÇÒ»¸ö0¾ØÕ󣬰´ÀíÀ´ËµÊÇÏàµÈµÄ°¡ ans = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ÎÒ¾õµÃÊǾ«¶ÈµÄÎÊÌ⣬ÄÄλ´óÉñÄܰïæ½â¾öÕâ¸ö»ù´¡µÄÎÊÌ⣿ ¸½ adjº¯Êý: function B = adj(A) %Çó°éËæ¾ØÕó %ADJ Matrix adjoint. % ADJ(A) is the adjoint matrix of square matrix A. % It is computed using the Cayley-Hamilton Theorem. % The inverse of A is: INV(A) = ADJ(A)/det(A). % % Matrices that are not invertable still have an adjoint. %written by Paul Godfrey, April, 1998 %pjg@mlb.semi.harris.com ce = poly(eig(A)); cesize = max(size(ce)); p = [0 ce(1 cesize-1))];s = (-1)^(max(size(A))+1); B = s*polyvalm(p,A); |
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cesize-1))];
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