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Outline for Eigen

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An Outline for Eigen-stuff

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  • May 8, 2021
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Outline for Eigenstuff problems

Example 1
i) Compute A − λI

ii) Compute det(A − λI). This gives you the characteristic polynomial.

iii) Set the characteristic polynomial equal to zero and find the roots. These are your eigenvalues.
The algebraic multiplicity is the number of times a specific root occurs (e.g. in the problem
you sent to me 2 occurs twice so its algebraic multiplicity is 2).

iv) Using row operations find the rref A − λI for your corresponding eigenvalues. This gives you
your Eigenspaces as well as your eigenvectors

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