Mathematical Methods in Classical and Quantum Mechanics
The characteristic polynomial is a polynomial equation that is derived from a square matrix and is used to determine the eigenvalues of that matrix. By setting the characteristic polynomial equal to zero, we can find the eigenvalues, which are crucial in understanding the behavior of linear transformations. This polynomial encapsulates important properties of the matrix, including its eigenvalues, which are key in diagonalization and the study of matrix functions.
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