107100107320310022111119110022ALUStep1:Step2:AxLUxbLybUxy举例.LU122014112分解作对矩阵A12(,.,)nA 12,.,n 12,.,n 1111221212(,).(,).(,)(,.,)(,.,)nnnnnAQR 列列满满秩秩行满秩行满秩00,.,0000rrm nEEAie APQP Q,可逆00000rrrEEAPQPEQBC12341123(,)101001131010110113,10,00000110100113ABABCC 行初等nmD000rdddD21,(P052).,.,2,1,ridii(P099)其中 ,HVUA02DrddDD1,000,.,21121VVVV000021u Step2.12r111DAVU HUDVA0001HUDVA000HHHHBBBCCCA11)()(n21aaa212121A11