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Determinants of Sums

by Marvin Marcus (University of California, Santa Barbara)

This article originally appeared in:
College Mathematics Journal
March, 1990

Subject classification(s): Algebra and Number Theory | Linear Algebra
Applicable Course(s): 3.8 Linear/Matrix Algebra | 4.13 Advanced Linear Algebra

An interesting formula for the determinant of the sum of any two matrices of the same size is presented. The formula can be used to obtain important results about the characteristic polynomial and about the characteristic roots and subdeterminants of the matrices being added.

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Capsule Course Topic(s):
Linear Algebra | Determinants
Linear Algebra | Eigenvalues and Eigenvectors
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