Question

线性代数初级问题.多项式f(x)= x -1 0 x2 2 3 x-7 10 4 31 -7 1 x 中的常数项是

Answer 1

f(0) 即常数项

f(0) =

0 -1 0 0

2 2 3 0

-7 10 4 3

1 -7 1 0

按第4列展开

= (-1)^(3+4) * 3 *

0 -1 0

2 2 3

1 -7 1

按第1行展开

= -3 * (-1) * (-1)^(1+2) *

2 3

1 1

= -3 * (2-3)

= 3.