设矩阵A=
(20
-11),
B=
(11
01),
C=
(3-2
-21),
分别计算|ABC|与|A|•|B|•|C|.
ABC= (2 0 -1 1) (1 1 0 1) (3 -2 -9 1) = (2 2 -1 0) (3 -2 -2 1) =(2 -2 -3 2) |ABC|= |2 -2| |-3 2| =-2. |A|•|B|•|C|=2×1×(3-4)=-2.
设矩阵A=
(20
-11),
B=
(11
01),
C=
(3-2
-21),
分别计算|ABC|与|A|•|B|•|C|.
ABC= (2 0 -1 1) (1 1 0 1) (3 -2 -9 1) = (2 2 -1 0) (3 -2 -2 1) =(2 -2 -3 2) |ABC|= |2 -2| |-3 2| =-2. |A|•|B|•|C|=2×1×(3-4)=-2.