Category:Orthogonal Bases of Vector Spaces

This category contains results about Orthogonal Bases of Vector Spaces.
Definitions specific to this category can be found in Definitions/Orthogonal Bases of Vector Spaces.

Let $V$ be a vector space.

Let $\BB = \tuple {\mathbf e_1, \mathbf e_2, \ldots, \mathbf e_n}$ be a basis of $V$.

Then $\BB$ is an orthogonal basis if and only if $\mathbf e_1, \mathbf e_2, \ldots, \mathbf e_n$ are pairwise perpendicular.