Jan 4, 2017 · Let $M$ be a symmetric $n \\times n$ matrix. Is there any equality or inequality that relates the trace and determinant of $M$?

Nov 17, 2017 · In fact, a quick check on Wolfram|Alpha shows that for a 2x2 matrix to be normalizable, the top left index must exactly equal the negative of the bottom right index …

Dec 7, 2015 · Since you are looking at a a matrix representation of the relation, an easy way to check transitivity is to square the matrix. The relation is transitive if and only if the squared …

Apr 28, 2021 · A Markov transition matrix has all nonnegative entries and so by the Perron-Frobenius theorem has real, positive eigenvalues. In particular the largest eigenvalue is 1 by …

Nov 5, 2025 · Sufficient conditions for representing the matrix $U$ as $B^\top B^ {-1}$ Ask Question Asked 4 days ago Modified yesterday

What way would you recommend me if there was a quadratic matrix given, such as A= (2 0 1 0 3 7 4 0 2) A = (2 0 4 0 3 0 1 7 2)? There are several (for me confusing) ways doing it I think. The …

Jan 11, 2018 · Matrix multiplication is associative, so you can do it in whichever order you like. You can prove it by writing the matrix multiply in summation notation each way and seeing …

Inverse matrix’s eigenvalue? Ask Question Asked 12 years, 11 months ago Modified 6 months ago

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. …

Jun 11, 2020 · A regular matrix $A$ is a square matrix and there are some n ($\geq$ 1) such that all the entries of $A^n$ are positive. I would like to know is this a correct definition?