[1×0+2×2+1×0 1×1+2×1+1×2 1×0+2×0+1×1 2×0+(-1D×2+0×02×1+(-1)×1+0×22×0+(-1D×0+0×1 1×0+1×2+0×0 1×1+1×1+0×2 1×0+1×0+0×1 「45 -21 0 [220 「01 0][1217 BA= 21 02-10 021110 「0×1+1×2+0×10×2+1×(-1)+0×10×1+1×0+0×0 = 2×1+1×2+0×12×2+1×(-1)+0×12×1+1×0+0×0 0×1+2×2+1×10×2+2×(-1)+1×10×1+2×0+1×0 「2-107 =432 5-10 [45 2 -107 「2 61 AB-BA= -21 0 4 2 -2-2 20 0 30 2 17[010 A'B= 2 -11210 00021 1×0+2×2+1×0 1×1+2×1+1×21×0+2×0+1×1 =2×0+(-1)×2+1×02×1+(-1)×1+1×22×0+(-1)×0+1×1 L 1×0+0×2+0×01×1+0×1+0×2 1×0+0×0+0×1」 「4517 -231 010 7.计算下列乘积: 17 (1)[123 41 02 3 解:1 0 2 2 1 0 1 1 2 1 1 2 1 0 2 0 1 1 2 0 1 2 0 0 2 1 1 1 0 2 2 0 1 0 0 1 1 0 1 2 0 0 1 1 1 1 0 2 1 0 1 0 0 1 4 5 1 2 1 0 2 2 0 + + + + + + = + − + + − + + − + + + + + + + = − ( ) ( ) ( ) 0 1 0 1 2 1 2 1 0 2 1 0 0 2 1 1 1 0 BA = − 0 1 1 2 0 1 0 2 1 1 0 1 0 1 1 0 0 0 2 1 1 2 0 1 2 2 1 1 0 1 2 1 1 0 0 0 0 1 2 2 1 1 0 2 2 1 1 1 0 1 2 0 1 0 2 1 0 432 5 1 0 + + + − + + + = + + + − + + + + + + − + + + − = − ( ) ( ) ( ) 4 5 1 2 1 0 2 6 1 2 1 0 4 3 2 6 2 2 2 2 0 5 1 0 3 3 0 AB BA − − = − − = − − − − − 1 2 1 0 1 0 2 1 1 2 1 0 1 0 0 0 2 1 T A B = − 1 0 2 2 1 0 1 1 2 1 1 2 1 0 2 0 1 1 2 0 1 2 1 0 2 1 1 1 1 2 2 0 1 0 1 1 1 0 0 2 0 0 1 1 0 1 0 2 1 0 0 0 0 1 4 5 1 2 3 1 0 1 0 + + + + + + = + − + + − + + − + + + + + + + = − ( ) ( ) ( ) 7. 计算下列乘积: (1) 1 0 1 2 3 4 2 3 − 解: