The product of the eigen values of a matrix is equal to the
of the
matrix
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The sum of the n eigenvalues of A is the same as the trace of A (that is, the sum of the diagonal elements of A). The product of the n eigenvalues of A is the same as the determinant of A. If λ is an eigenvalue of A, then the dimension of Eλ is at most the multiplicity of λ.
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