$A$ is a $3\times 3$ matrix with integer entries such that $\det(A)=1.$ So what is the maximum possible number of entries of $A$ that are even $?$
So, I thought about the $3\times 3$ Identity matrix and wrote the answer $6$$($ Since $0$ is ***even***$)$
Was it by any chance correct $?$ Or was it wrong $?$
How to prove that $?$
Thanks.