The polynomial det(A-cI) is called the characteristic polynomial of A. The equation det(A-cI)=0 is the characteristic equation. The solutin to the characteristic equation are hte eigenvalues of A. ### ...
Eigenvectors of real symmetric matrices are orthogonal: https://math.stackexchange.com/questions/82467/eigenvectors-of-real-symmetric-matrices-are-orthogonal: $< ...
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