A $3 \times 3$ matrix having integral entries

Question

A is a $3 \times 3$ matrix having integral entries such that $det(A)=120$, number of such matrices is?

Could someone help me as how approach this question?

The question is vague i think there should be a range for entries like $[0-10]$ or something like that — Archis Welankar, Apr 19 '16 at 13:42

score 1 · Answer 1 · answered Apr 19 '16 at 13:19

1

Infinite. Take $n$ to be any integer in the following:

$\begin{pmatrix}4 & 0 & 1\\ n & 5 & 0 \\ n & 5 & 6\end{pmatrix}$

answered Apr 19 '16 at 13:19

almagest

1 Answers1