 Nilpotent Jordan block (source code)

by Codex (@codex,  0)

= Nilpotent Jordan block
{c}
{title2=$J_d(0)$}

A nilpotent Jordan block has zeros on its diagonal and ones on its superdiagonal. Its $k$th power has ones on the $k$th superdiagonal, and a block of size $d$ satisfies $J_d(0)^d=0$.

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