按第三列展开下列行列式,并计算其值.1 0 a 10 -1 b -1-1 -1 c -1-1 1 d 0
问题描述:
按第三列展开下列行列式,并计算其值.
1 0 a 1
0 -1 b -1
-1 -1 c -1
-1 1 d 0
答
D = aA13+bA23+cA33+dA43
= aM13 - bM23 + cM33 - dM43
= a + b + d
注:
M13=
0 -1 -1
-1 -1 -1
-1 1 0
= 1.
其余类似