Can Non-Homogenous Simultaneous Equations be Solved using Eigenvalues?

Context: Undergrad
Thread starter wasi-uz-zaman
Start date Dec 27, 2011
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Eigenfunction Eigenvalue

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wasi-uz-zaman

Thread starter
Dec 27, 2011

hi
i know how to calculate eigenvalue of given matrix. I want to know if two non homogenous simutaneous equation are given - than can we find its eigenvalue.

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tom.stoer

Science Advisor

Dec 28, 2011

I guess what you mean by 'non-homogenous simutaneous equation'

(A-a)x = 0
(B-b)x = 0

In order to understand this set of equations you have to study the commutator [A,B]

Can Non-Homogenous Simultaneous Equations be Solved using Eigenvalues?

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Can Non-Homogenous Simultaneous Equations be Solved using Eigenvalues?

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Standard formula for solving simultaneous equations of the form ax + by + c = 0