Feb 11, 2011i always found the use of orthogonal outside of mathematics to confuse conversation. You might imagine two orthogonal lines or topics intersecting perfecting and deriving meaning from that. Aug 26, 2017orthogonal is likely the more general term.
For example i can define orthogonality for functions and then state that various sin () and cos () functions are orthogonal. Jul 12, 2015i have often come across the concept of orthogonality and orthogonal functions e.g in fourier series the basis functions are cos and sine, and they are orthogonal. Sets of vectors are orthogonal or orthonormal.
An orthogonal matrix is a square matrix whose columns (or rows) form an orthonormal basis. May 8, 2012in general, for any matrix, the eigenvectors are not always orthogonal. Dec 12, 2014here, the result follows from the definition of "mutually orthogonal".
A set of vectors is said to be mutually orthogonal if the dot product of any pair of distinct vectors in the set is 0. Nov 4, 2015to check whether two functions are orthogonal, you simply take their inner product in . Sep 29, 2019in this manner we end up with a description for an infinite family of orthogonal vectors, which hopefully makes it easy for you to convince yourself intuitively.
3 generally, two linear subspaces are considered orthogonal if every pair of vectors from them are perpendicular to each other.
