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2019 LIMIT Category C
Problem 10
maximize even entries in A if det(A)=1 (3x3)
maximize even entries in A if det(A)=1 (3x3)
Source: LIMIT 2019 CCS2 P10
April 28, 2021
Matrices
matrix
linear algebra
Problem Statement
Let
A
∈
M
3
(
Z
)
A\in M_3(\mathbb Z)
A
∈
M
3
(
Z
)
such that
det
(
A
)
=
1
\det(A)=1
det
(
A
)
=
1
. What is the maximum possible number of entries of
A
A
A
that are even?
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