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This tutorial goes over a full example on how to find the eigenvalues and eigenvectors of a 3×3 matrix. It is part of a full free course on linear algebra.

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All Free Linear Algebra Tutorials (Website): https://www.engineer4free.com/linear-algebra

All Free Linear Algebra Tutorials (YouTube): https://www.youtube.com/playlist?list=PL2C8B5877FC12E315

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Thanks for watching, I hope it helps!