Apr 15, 2011 · given that 2 matrices have the same eigenvalues is it necessary that they be similar? If not, what is the connection between those 2?

May 21, 2023 · The thread title, "Using inverse to find eigenvalues," doesn't make sense to me. When your goal is to find the eigenvalues and eigenvectors for a given matrix A, the matrix expression you …

Dec 17, 2025 · for d), I am a bit confused. I have two trains of thoughts here any thoughts on which answer is correct, and why the other one is incorrect? Both seem like valid solutions to me. Or is the …

Mar 13, 2025 · Eigenvalues Linear algebra, the theory of vector spaces, has the motivation to ask for repetitions or the absence of them in common with those phenomena. This means in the case of …

Nov 14, 2007 · Hi Homework Statement We're given the operators Lx, Ly and Lz in matrix form and asked to show that they have the correct eigenvalues for l=1. Obviously no problem determining the …

Mar 18, 2020 · The discussion centers on determining the direction of a spiral in a phase plane diagram with complex eigenvalues, specifically whether it is clockwise (CW) or counterclockwise (CCW).

Mar 31, 2013 · How come a square matrix has eigenvalues of 0 and the trace of the matrix? Is there any other proof other than just solving det (A-λI)=0?

Dec 7, 2011 · Homework Statement Let A be an m x n matrix with rank(A) = m < n. As far as the eigenvalues of A^{T}A is concerned we can say that... Homework Equations The Attempt at a …

Mar 18, 2012 · For large and sparse matrices, methods such as the Lanczos method and Subspace Iteration Method are recommended for efficiently approximating eigenvalues. The conversation …

Feb 15, 2008 · So I've shown that A and A^T have the same char. polynomials => same eigenvalues, using the fact that detA = detA^T. I still can't see any way I could possibly show or disprove that the …