(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A is a quadratic matrix

A = λI + N

where λ is a real number, I is the identity matrix and N is a nilpotent matrix

Compute exp(tA) as a function of t, λ and N^i for i ? 1,2..,n-1

My attempt

exp(At) = exp((λI + N)t) = exp(λIt)exp(Nt) =

[tex] \sum_{n=0}^{\infty} \frac{(Iλt)^n}{n!} \sum_{n=0}^{\infty} \frac{(Nt)^n}{n!} [/tex]

Its supposed to be Iλt and not I955;t

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: A = λI + N, N is a nilpotent matrix

**Physics Forums | Science Articles, Homework Help, Discussion**