x′= x + 2y
y′= −x

a) Find the solution using the method of elimination.
b) Find the solution using the eigenvalues.
c) show why these are the same

Question

x′= x + 2y
y′= −x

a) Find the solution using the method of elimination.
b) Find the solution using the eigenvalues.
c) show why these are the same

anonymous · Answer

sorry can i ask a question even though ure the one asking?

anonymous · Answer

sure go ahead

anonymous · Answer

emm what is algebraic multiplicity?

anonymous · Answer

There are 2 types of multiplicity. 

An n dimensional system has n eigenvalues but they aren't all distinct.

Algebraic multiplicity tells you how many times a particular eigenvalue is repeated.

Geometric multiplicity tells you how many linearly independent eigenvectors exist for a particular eigenvalue.

The geometric multiplicity is never larger than the algebraic multiplicity but can be smaller.

anonymous · Answer

wow thx :D

anonymous · Answer

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