Now you are in the subtree of Container for Linear Algebra project.
- Definition of applying a polynomial to a square matrix
- Definition of characteristic polynomial of a matrix
- Definition of characteristic equation of a matrix
- Definition of minimal polynomial of a matrix
- The minimal polynomial of a square matrix exists and is unique.
- The eigenvalues of a matrix are the roots/solutions of its characteristic polynomial/equation.
- The characteristic polynomial applied to the matrix gives the 0 matrix.
- The Cayley-Hamilton theorem for a matrix.
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