775 views
3 votes
3 votes
Let A be a $3 \times 3$ matrix with integer entries such that $|A| =1$. What is the maximum possible number of entries of A that are even?

1 Answer

2 votes
2 votes

Here $I3$ is the best example for such matrix.

$A = \begin{bmatrix} 1 & 0 & 0\\ 0& 1 & 0\\ 0& 0 & 1 \end{bmatrix}$

Here even number entries are 6 and $|A|=1$.We can't get more than 6 even element for this type of matrix.

Hence,Maximum number of even entries in  A is $6$.

Related questions

0 votes
0 votes
0 answers
1
0 votes
0 votes
0 answers
2
0 votes
0 votes
0 answers
4
Mohib asked Oct 17, 2022
451 views
While studying Linear algebra I got 2 perspectives. Which meaning out of these 2 is more accurate?