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This document provides an introduction to the matrix exponential. It defines the exponential of an n×n matrix A as the infinite series eA = I + A + A2/2! + A3/3! + ... and shows that this sum converges for all finite matrices. It then discusses properties of the matrix exponential for diagonal and diagonalizable matrices, proving that if A is diagonalizable as A = PDP-1, then eA = PeD P-1. The document also presents some properties of the matrix exponential, including that e0 = I, Am eA = eA Am, and (eA)T =

Author

abcdfr2

Language

EN