已知三阶矩阵A=[a1,a2,a3],B=[3a1-a2,3a2-2a3,-a1-2a2+2a3] 且|B|=16,则|A|=
问题描述:
已知三阶矩阵A=[a1,a2,a3],B=[3a1-a2,3a2-2a3,-a1-2a2+2a3] 且|B|=16,则|A|=
答
B=[a1,a2,a3]K
K =
3 0 -1
-1 3 -2
0 -2 2
|K|=4
|A|=|B|/|K| = 16/4=4