A3

Part of 2021 Simon Marais Mathematical Competition

Problems(1)

Possible values of determinant of 0-1 matrices

Source: 2021 Simon Marais, A3

\mathcal{M}

be the set of all

2021 \times 2021

matrices with at most two entries in each row equal to

1

and all other entries equal to

0

. Determine the size of the set

\{ \det A : A \in M \}

\det A

denotes the determinant of the matrix

A

matrixdeterminantlinear algebra