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Matrix Spectrum

The eigenvalues of a matrix A are called its spectrum, and are denoted lambda(A). If lambda(A)={lambda_1,...,lambda_n}, then the determinant of A is given by

det(A)=lambda_1lambda_2...lambda_n.

See also

Characteristic Polynomial, Eigenvalue, Graph Spectrum

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References

Golub, G. H. and Van Loan, C. F. Matrix Computations, 3rd ed. Baltimore, MD: Johns Hopkins University Press, p. 310, 1996.

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Matrix Spectrum

Cite this as:

Weisstein, Eric W. "Matrix Spectrum." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MatrixSpectrum.html

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