Question

四阶行列式具体怎么算1 3 2 4 4 1 3 2D=2 4 1 3 3 2 4 1

Answer 1

D=|10 3 2 4| =10*|1 3 2 4| = 10*|1 3 2 4| =10|1 3 2 4|

10 1 3 2 1 1 3 2 0 -2 1 -2 0 -2 1 -2

10 4 1 3 1 4 1 3 0 1 -1 -1 0 -1 0 -3

10 2 4 1 1 2 4 1 0 -1 2 -3 0 3 0 1

=10|1 3 2 4| =-10|1 2 3 4| =-10*1*1*（-1）*（-8）=-80

0 -2 1 -2 0 1 -2 -2

0 -1 0 -3 0 0 -1 -3

0 0 0 -8 0 0 0 -8