in Others retagged by
19 views
0 votes
0 votes
Let $A$ be an $n \times n$ integer matrix whose entries are all even. Show that the determinant of $A$ is divisible by $2^{n}$. Hence or otherwise, show that if $B$ is an $n \times n$ matrix whose entries are $\pm 1$, then the determinant of $B$ is divisible by $2^{n-1}$.
in Others retagged by

Please log in or register to answer this question.

Related questions