Jul 12, 2015 · I 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. For vectors …

Orthogonality is the property that means "Changing A does not change B". An example of an orthogonal system would be a radio, where changing the station does not change the volume …

Aug 26, 2017 · For example I can define orthogonality for functions and then state that various sin () and cos () functions are orthogonal. An orthogonal basis can be used to decompose …

Aug 4, 2015 · You can think of orthogonality as vectors being perpendicular in a general vector space. And for orthonormality what we ask is that the vectors should be of length one. So …

Mar 6, 2015 · "Orthogonality" is a measure of how much two vectors have in common. In an orthogonal basis, the vectors have nothing in common. If this is the case, I can get a given …

May 2, 2015 · So, the problem is that I can understand the meaning of orthogonality between two vectors, they are just "lines" perpendicular to each other, but I can not physically perceive what …

Orthogonality and linear independence Ask Question Asked 12 years, 5 months ago Modified 5 years ago

May 8, 2012 · Eigenvectors corresponding to different eigenvalues will be orthogonal if the matrix is symmetric. This is part of the real spectral theorem.

Orthogonality of sine and cosine integrals. Ask Question Asked 11 years, 10 months ago Modified 6 years, 4 months ago

I'm trying to understand orthogonal and orthonormal matrices and I'm very confused. Unfortunately most sources I've found have unclear definitions, and many have conflicting …