线性代数字典.pdf

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1、
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2、_`ab;Xc3<WfQjklmn8deIX]ghixn%x1X`3VoVjpqst*=>7r8Tv1;v2;


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3、}yyDet(A)Vn!300u0Va1


an!(det(P)=S<st1)iyWPV*"(detP=1)3W*[S"uc*30fKGkS0K*0"}

4、0}"0*0"ux000KGR00K0S00003AB`A0Kk0KG-R`0ZB}`0*002AB0`0I0 AB3Cayley-Hamilton¡p()=det(AI))p(A)=CAc>XUs3o;<M¢0o0oj0B8GTvjV0£8GTwi=0>mijwii0y03cv+cv+


cv=dw+dw+


dw¤¥1122nn1122nnV¦d=Mc§¨/©=mw+mw;v=mw+mw)3(46n=2Wªv111121221212221«¬«¬Qde

5、t(AI)=03n"Vn

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7、}y¼»L_½aij§i}j¼¾k¢mjn1SRi+j_½¿

8、}y MijÀªCij=(1)MijCRaijijeº¯y3Ax=bSbRASjB

9、bS8T=>3AU(C(A)QjIX3SSjBU(C(A)=A8T§)=>§U(3«¬<-[IÁAB=BA3A;BI4h°W2ÂÃ)8T3ÄÅ!nR~R+&}_+½c1;c2;


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10、;

11、j§î%W2RXxj=det(Bj)=det(A)32ÙR3ïWu;v±ÖRkukkvkjsinj=u;vuvÁ8ÚT§ð,²?}ñi3u=(u1;u2;u3);v=(v1;v2;v3)W2uvI²JÚì[ijk;uuu;vvv]óòS123123}yôWõö3«+¬³´·++<0&¶@Ss21=1;s32=1;


;s1n=1S35ÂV1«0¬2ik«0¬K0Snn"ek=0;1;


;n138GT0VFourierF8GT03SS<;ùY-}yjAj=det(A)¡÷det(