作者harry901 (蛋笨是的念来过倒)
看板Math
标题[ODE] Exponential matrix with its eigenvalues proof.
时间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.
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