Matrix Exponentials - MIT
web.mit.edu/18.06/www/Spring17/Matrix-Exponentials.pdfNote that we have de ned the exponential e t of a diagonal matrix to be the diagonal matrix of the e tvalues. Equivalently, eAtis the matrix with the same eigenvectors as A but with eigenvalues replaced by e t. Equivalently, for eigenvectors, A acts like a number , so eAt~x k= e kt~x k. 2.1 Example For example, the matrix A= 0 1 1 0 has two ...
Matrix calculator
https://matrixcalc.org/enMatrix addition, multiplication, inversion, determinant and rank calculation, transposing, bringing to diagonal, triangular form, exponentiation, LU Decomposition, Singular Value Decomposition (SVD), solving of systems of linear equations with solution steps
Matrix exponential - Wikipedia
https://en.wikipedia.org/wiki/Matrix_exponentialIn mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. It is used to solve systems of linear differential equations. In the theory of Lie groups, the matrix exponential gives the connection between a matrix Lie algebra and the corresponding Lie group. Let X be an n×n real or complex matrix. The exponential of X, denoted by e or exp(X), is the n×n mat…