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C1=sym('[0, a12, a13, a14; a21, 0, a23, a24; a31, a32, 0 , a34; a41, a42, a43, 0]') C1 = [ 0, a12, a13, a14] [ a21, 0, a23, a24] [ a31, a32, 0, a34] [ a41, a42, a43, 0] >> C2=C1^2 C2 = [ a12*a21+a13*a31+a14*a41, a13*a32+a14*a42, a12*a23+a14*a43, a12*a24+a13*a34] [ a23*a31+a24*a41, a12*a21+a23*a32+a24*a42, a21*a13+a24*a43, a21*a14+a23*a34] [ a32*a21+a34*a41, a31*a12+a34*a42, a13*a31+a23*a32+a34*a43, a31*a14+a32*a24] [ a42*a21+a43*a31, a41*a12+a43*a32, a41*a13+a42*a23, a14*a41+a24*a42+a34*a43] >> C3=C1^3 C3 = [ a12*(a23*a31+a24*a41)+a13*(a32*a21+a34*a41)+a14*(a42*a21+a43*a31), a12*(a12*a21+a23*a32+a24*a42)+a13*(a31*a12+a34*a42)+a14*(a41*a12+a43*a32), a12*(a21*a13+a24*a43)+a13*(a13*a31+a23*a32+a34*a43)+a14*(a41*a13+a42*a23), a12*(a21*a14+a23*a34)+a13*(a31*a14+a32*a24)+a14*(a14*a41+a24*a42+a34*a43)] [ a21*(a12*a21+a13*a31+a14*a41)+a23*(a32*a21+a34*a41)+a24*(a42*a21+a43*a31), a21*(a13*a32+a14*a42)+a23*(a31*a12+a34*a42)+a24*(a41*a12+a43*a32), a21*(a12*a23+a14*a43)+a23*(a13*a31+a23*a32+a34*a43)+a24*(a41*a13+a42*a23), a21*(a12*a24+a13*a34)+a23*(a31*a14+a32*a24)+a24*(a14*a41+a24*a42+a34*a43)] [ a31*(a12*a21+a13*a31+a14*a41)+a32*(a23*a31+a24*a41)+a34*(a42*a21+a43*a31), a31*(a13*a32+a14*a42)+a32*(a12*a21+a23*a32+a24*a42)+a34*(a41*a12+a43*a32), a31*(a12*a23+a14*a43)+a32*(a21*a13+a24*a43)+a34*(a41*a13+a42*a23), a31*(a12*a24+a13*a34)+a32*(a21*a14+a23*a34)+a34*(a14*a41+a24*a42+a34*a43)] [ a41*(a12*a21+a13*a31+a14*a41)+a42*(a23*a31+a24*a41)+a43*(a32*a21+a34*a41), a41*(a13*a32+a14*a42)+a42*(a12*a21+a23*a32+a24*a42)+a43*(a31*a12+a34*a42), a41*(a12*a23+a14*a43)+a42*(a21*a13+a24*a43)+a43*(a13*a31+a23*a32+a34*a43), a41*(a12*a24+a13*a34)+a42*(a21*a14+a23*a34)+a43*(a31*a14+a32*a24)] ÇëÎÊ´óÏÀ £¬Ôõô½øÐÐÌõ¼þÉèÖ㬿ÉÒÔÈà ·ûºÅ¾ØÕóÔÚÔËËã¹ý³ÌÖÐ £¬ÔªËØÖз²ÊÇ´æÔÚ C£¨i,j£©*C(j,i)»òC£¨i,j£©*£¨*ÈÎÒ⣩*C(j,i) ¶¼ÈÃC£¨i,j£©*C(j,i)=0 £¨i,j£©*£¨*ÈÎÒ⣩*C(j,i)=0 лл |
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