Feb 11, 2011 · I 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 …

Aug 26, 2017 · Orthogonal 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. An orthogonal basis …

Aug 4, 2015 · I am beginner to linear algebra. I want to know detailed explanation of what is the difference between these two and geometrically how these two are interpreted?

Sets of vectors are orthogonal or orthonormal. There is no such thing as an orthonormal matrix. An orthogonal matrix is a square matrix whose columns (or rows) form an orthonormal basis. The …

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 being …

Mar 6, 2015 · I probably should have been clearer in what I meant. Still, one cannot "see" orthogonality from plotting the functions - they are orthogonal in function space; and orthogonal functions can be …

May 8, 2012 · In general, for any matrix, the eigenvectors are NOT always orthogonal. But for a special type of matrix, symmetric matrix, the eigenvalues are always real and eigenvectors corresponding to …

The literature always refers to matrices with orthonormal columns as orthogonal, however I think that's not quite accurate. Would a square matrix with orthogonal columns, but not orthonormal, change the …

Dec 14, 2022 · Note that this is more general than the usual orthogonal matrix has orthogonal eigenvectors or symmetric matrix has orthogonal eigenvectors in that A A need not be orthogonal or …

Mar 17, 2017 · The equation ATA = AAT A T A = A A T says that A−1 =AT A 1 = A T so, at least, orthogonal matrices are easy to invert. What does it mean? Matrices represents linear transformation …