[ODE] Exponential matrix with its eigenvalues proof.

作者harry901 (蛋笨是的唸來過倒)

看板Math

標題[ODE] Exponential matrix with its eigenvalues proof.

時間Sun Nov 20 23:13:53 2005

Let A be an n*n matrix with all its eigenvalues equal to λ. Show that n-1 t^k e^(tA) = e^(λt)Σ ----- (A-λI)^k k=0 k! where I is an n*n identity matrix. -- 小武的照片歡迎來我的相本晃晃喔 ^_^ http://tinyurl.com/d289a 拍的不好請多包含 ^^" -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 218.169.11.178