Feb 23, 2011 · 9 Eigenvalues and eigenvectors are central to the definition of measurement in quantum mechanics Measurements are what you do during experiments, so this is obviously …

Eigenvalues and eigenvectors are easy to calculate and the concept is not difficult to understand. I found that there are many applications of eigenvalues and eigenvectors in multivariate analysis.

There are already good answers about importance of eigenvalues / eigenvectors, such as this question and some others, as well as this Wikipedia article. I know the theory and these …

May 10, 2015 · Skew-Hermitan matrices are promising for counterexample, since their eigenvalues are purely imaginary. Real skew-Hermitan matrix is just a skew-symmetrical one.

Jul 5, 2015 · A A has no real valued eigenvalues and no real valued eigenvectors. But A A has two complex valued eigenvalues λ1 = i, λ2 = −i λ 1 = i, λ 2 = i and two complex valued …

I'm studying eigenvector and eigenvalue but there are some confusing things to me. (1) Eigenvectors are not unique (2) If eigenvectors come from distinct eigenvalues, then …

How are the real parts of the eigenvalues of A A related to the (necessarily) real eigenvalues of A +AT A + A T? Answers for complex matrices appreciated as well.

Apr 13, 2017 · Non-square matrices do not have eigenvalues. If the matrix X is a real matrix, the eigenvalues will either be all real, or else there will be complex conjugate pairs.

Jan 26, 2014 · 15 I am confused about the relationship between the invertibility of a matrix and its eigenvalues. What do the eigenvalues of a matrix tell you about whether a matrix is invertible …

Oct 25, 2018 · I got your point. while in that we can modify this question for a 4×4 matrix with A has eigen value 1,1,1,2 . Then can it be possible to have 1,4,3,1/3. this time (det A)^2= (det …