Recent content by Blanchdog95
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Trouble with Matrix Exponentials
THANK YOU SO MUCH! Now that I think about it the textbook did mention something about commutation; this probably saved me half a dozen points on my test next week.- Blanchdog95
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- Forum: Calculus and Beyond Homework Help
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Trouble with Matrix Exponentials
I've attempted to solve this by separating A into a diagonal matrix D and nilpotent matrix N: D = {{1, 0}, {0, 0}} N = {{0, 0}, {1, 0}} e^(At) = e^((D + N)t) = e^(Dt) * e^(Nt) When N is raised to the second power, it becomes the zero matrix. Therefore, e^(Nt) = I + Nt = {{1, 0}, {t, 1}} Note...- Blanchdog95
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- Matrix
- Replies: 4
- Forum: Calculus and Beyond Homework Help