Exercise 4.5.19

Answers

If $M$ has two identical rows, then the matrix $M^{'}$ obtained from $M$ by interchanging the two rows would be the same. So we have

δ (M) = δ (M^{'}) = - δ (M) .

When $𝔽$ does not have characteristic two, the equality above means $δ (M) = 0$ .

jephianlin

2011-06-27 00:00