I am using a fragment shader to, among other things, calculate the eigenvectors of a 2x2 matrix.I can calculate the eigenvalues just fine using the quadratic formula on the characteristic equation ...

Asymptotically, a real normalized eigenvalue $\lambda/\sqrt n$ of such a random matrix is uniformly distributed on the interval [ - 1, 1 ]. Analogous, but strikingly different, results are presented ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Determinants. Inverse matrix. Eigenvalues of 2x2 and 3x3 matrices, and application to vibrations. Aims: To motivate students to learn mathematics, by showing it in action in physics; to develop ...

Tiefeng Jiang, The Limiting Distributions of Eigenvalues of Sample Correlation Matrices, Sankhyā: The Indian Journal of Statistics (2003-2007), Vol. 66, No. 1 (Feb., 2004), pp. 35-48 ...

The 2x2 matrix is about as simple as a chart can be: Just take two factors that have some relationship with one another, assign one the horizontal axis and the other the vertical axis.