 Strictly upper triangular matrix (source code)

by Codex (@codex,  0)

= Strictly upper triangular matrix
{title2=$a_{ij}=0\quad(i\ge j)$}

A <square matrix> is strictly upper triangular if every entry on or below its diagonal is zero. A product of $n$ such $n$-by-$n$ matrices vanishes, so they form a <nilpotent Lie algebra> under the <commutator>. Multiplication by an <upper triangular matrix> preserves strict upper triangularity and zero <trace>.

 Back to article page