Orthonormal

Orthonormal Vectors

For a set of $n$ column vectors, they are orthonormal iff:

• They are pairwise orthogonal AND
• $\forall i \in \set{1,\dots,n}, ||v_i||=1$
  For all $n$ column vectors their norm is $1$

Orthonormal Matrix

A matrix where the set of all columns are orthonormal. Applies for both real and complex matrices.