Possible numbers of x’s in an {x, y}-matrix with a given rank

Abstract

Let x, y be two distinct real numbers. An {x, y}-matrix is a matrix whose entries are either x or y. We determine the possible numbers of x’s in an {x, y}-matrix with a given rank. Our proof is constructive.

Keywords

• {x, y}-matrix
• rank
• number of x’s
• 15a03
• 05b20