#### https://en.wikipedia.org/wiki/Orthonormal_basis

In mathematics, particularly linear algebra, an orthonormal **basis** for an inner product space V with finite dimension is a **basis** for V whose vectors are orthonormal ...

#### https://en.wikipedia.org/wiki/Orthogonal_basis

In mathematics, particularly linear algebra, an **orthogonal** **basis** for an inner product space V is a **basis** for V whose vectors are mutually **orthogonal**.

#### mathworld.wolfram.com/OrthogonalBasis.html

An **orthogonal** **basis** of vectors is a set of vectors {x_j} that satisfy x_jx_k=C_(jk)delta_(jk) and x^mux_nu=C_nu^mudelta_nu^mu, where C_(jk), C_nu^mu are constants ...

#### https://www.physicsforums.com/threads/orthogonal-basis.72387

Is it correct to assume that there is no such thing as non-**orthogonal** **basis**? The **orthogonal** eigen**basis** is the "easiest" to work with, but generally to be a **basis** a ...

#### www-users.math.umn.edu/~olver/ln_/qr.pdf

**Orthogonal** Bases and the QR Algorithm by Peter J. Olver University of Minnesota 1. ... When we divide each **orthogonal** **basis** vector by its length, the result is

#### https://www.khanacademy.org/math/linear-algebra/alternate-bases/...

Introduction to orthonormal bases. ... Example using **orthogonal** change-of-**basis** matrix to find transformation matrix. **Orthogonal** matrices preserve angles …

#### https://www.math.ucdavis.edu/~linear/old/notes21.pdf

21. Orthonormal Bases The canonical/standard **basis** e 1 = 0 B B B B @ 1 ... The standard **basis** vectors are **orthogonal** (in other words, at right angles or perpendicular ...

#### https://www.quora.com/What-is-an-orthogonal-basis

**Orthogonal** **basis** a term in linear algebra for certain bases in inner product spaces, that is, for vector spaces equipped with an inner product also called a dot product.

#### mathworld.wolfram.com/OrthonormalBasis.html

Orthonormal **Basis**. A subset of a vector space, with the inner product, is called orthonormal if when . That is, the vectors are mutually perpendicular.

#### isites.harvard.edu/fs/...Orthogonal_Bases_and_Projections_slides.pdf

Lesson 13 Orthonormal Bases and **Orthogonal** Projections Math 21b March 9, 2007 Announcements I Graded midterms will be returned after class. µ = 77, σ = 10