Reams, RobertWaldron, Shayne2009-08-282009-08-282002-05Department of Mathematics - Research Reports-476 (2002)1173-0889http://hdl.handle.net/2292/5152We construct a $dtimes n$ matrix, $nge d$, whose columns have equal length and whose rows are orthonormal. This is equivalent to finding an isometric tight frame of $n$ vectors in $Rd$ (or $Cd$), or writing the $dtimes d$ identity matrix $I={dover n}sum_{i=1}^n P_i$, where the $P_i$ are rank $1$ orthogonal projections. %where the $P_i$ are orthogonal projections onto $1-$dimensional subspaces.https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htmTechnical ReportFields of Research::230000 Mathematical Sciences::230100 MathematicsThe author(s)