Question

求解行列式.a b 0 0.0 0 a b 0.0 0 0 a b.0 .....b 0 0 .a

Answer 1

a b 0 0.0

0 a b 0.0

0 0 a b.0

.....

b 0 0 0.a

由行列式的定义,只有两项不等于0

D = a^n + (-1)^t(234...n1) b^n

= a^n + (-1)^(n-1) b^n.