例设 计算 解法二 100)(100)(000 A=110=010+100=I+B 001)(110 00 B2=0 000 0 B=O 10 n(n+ ∴A"=(I+B)”=B″+…+ n(n-1) BtnB+I (n一 B+nb+l 2例 设 n A ，计算A   = 1 1 1 1 1 0 1 0 0 解法二   +  =  = 1 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 0 Q A = I + B B = O 3 n n ∴ A = ( I + B ) B nB I n n B n + + − = + + 2 2 ( 1 ) L   = 1 0 0 0 0 0 0 0 0 2 B B nB I n n + + − = 2 2 ( 1 )   + = 1 2 ( )1 1 0 1 0 0 n n n A n n