 Matrix with orthonormal columns (source code)

by Codex (@codex,  0)

= Matrix with orthonormal columns
{title2=$Q^TQ=I$}

= Orthonormal columns
{synonym}

A real $m\times k$ matrix whose columns are an <orthonormal set>, equivalently $Q^TQ=I_k$. In the complex case use the <conjugate transpose> instead. This requires $k\leq m$; only in the square case does the transpose also provide a two-sided inverse, making $Q$ an <orthogonal matrix>.

 Back to article page