若两对角阵A和B相似 A和B有什么关系？ This document is produced by trial vers of Print2Flash.Visit www.print2flash.com for more information
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由性质4可知：若两对角阵相似，则两对角 线上的元素，不计次序外，完全相同 1 0 0 200 0 30 003 01 0 0 0 0 1 00 0 20 0 0 3 001 ed by trial v of Print2Flash Visit
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5.若A~B,则IA曰B A~B,则A与B的特征值相同，设为1，入2，，2 则有 经 今AB1 6.若A~B,则A与B或同时可逆或同时不可逆 7.若A~B,则A与B的迹相同 tr(A)=tr(B)=+入2+…+n his docun at is produced by trial version of Print2Flash.Visit www.print2flash.com for n
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8.若A~B,则A兰B A~B→PAP=B P可逆 “P可以表示成一些初等矩阵的乘积 即P=PP…P, B=PAP=(PD…P)A(PD…P) =P1…PP'APB…P .A兰B→r(A)=(B) 9.若A~B,则r(A)=r(B) his do ced by trial ve n of Print2Flash Visit
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kA~kB Ak~Bk A-~B- 10.若A~B,则 A~B' AT-BT (A)~f(B) A~B→P-AP=B→kP-AP=kB →P(kA)P1=kB →kA~kB his doc is produced by trial vers of Print2Flash.Visit www.print2flash.com for mor
This document is produced by trial version of Print2Flash. Visit www.print2flash.com for more information