Definition:Pairwise Orthogonal/Columns

Definition

Let $\sqbrk a_{m n}$ be a matrix of order $m \times n$.

The columns of $\sqbrk a_{m n}$ are described as pairwise orthogonal if and only if:

$\forall i, j \in \set {1, 2, \ldots, n}, i \ne j: c_i \cdot c_j = 0$

That is, the dot product of each pair of distinct columns of $\sqbrk a_{m n}$, when considered as vectors, is zero.

Also see

• Definition:Pairwise Orthogonal Rows

• Results about pairwise orthogonality can be found here.