query: Maximum number of even entries in a $3\times 3$ matrix
positive_passages.docid: 78218
positive_passages.text: $A \in M_3(\mathbb Z)$ be such that $\det(A)=1$ ; then what is the maximum possible number of entries of $A$ that are even ?
negative_passages.docid: 23451
negative_passages.text: The new introduced EulerMatrix problem
negative_passages.docid: 4917
negative_passages.text: Inverse of this $3\times 3$ matrix using the Cayley–Hamilton theorem
negative_passages.docid: 31326
negative_passages.text: Number of $(0,1)$ $m\times n$ matrices with no empty rows or columns
negative_passages.docid: 40635
negative_passages.text: Finding Maximum value of consecutive positive integers with constraints
negative_passages.docid: 57644
negative_passages.text: Lower bounds for ${{2n} \choose {n}}$
negative_passages.docid: 5489
negative_passages.text: Can we use Sarrus' method for finding the determinant of matrix greater than $3\times3$?
negative_passages.docid: 22274
negative_passages.text: Partitioning a natural number $n$ in order to get the maximum product sequence of its addends
negative_passages.docid: 56796
negative_passages.text: Maximum of $x^3+y^3+z^3$ with $x+y+z=3$
negative_passages.docid: 151526
negative_passages.text: Determinant of a matrix with different cases for its entries
negative_passages.docid: 73027
negative_passages.text: Questions on symmetric matrices
negative_passages.docid: 145181
negative_passages.text: How can I prove the maximum number of edges?
negative_passages.docid: 65158
negative_passages.text: Oddity: Determinant of Skew-Symmetric $n\times n$ Matrices
negative_passages.docid: 145818
negative_passages.text: Edges on an even number of Hamilton cycles
negative_passages.docid: 123626
negative_passages.text: Prove that even $n$ can be partitioned to $\frac n2$ edges
negative_passages.docid: 63260
negative_passages.text: Matrices whose Linear Combinations are All Singular
negative_passages.docid: 3795
negative_passages.text: Repeated Iteration of a 2x2 matrix