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This tutorial goes over how to find the characteristic polynomial of a matrix. The example in this video is a 3x3 matrix, but finding the determinant of (A-λI) will work for a square matrix of any size. 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!