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Coefficients of the Characteristic Polynomial

The author derives formulas for the coefficients of the characteristic polynomial of a square matrix in terms of the partial derivatives of its determinant, which is viewed as a function of the entries of the matrix.

Old Node ID: 
2700
Author(s): 
Louis L. Pennisi (University of Illinois at Chicago)
Publication Date: 
Tuesday, July 15, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
February, 1987
Subject(s): 
Algebra and Number Theory
Linear Algebra
Topic(s): 
Linear Algebra
Characteristic Polynomial
Partial Derivatives, Differentiability
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Publish Page: 
Furnished by JSTOR: 
Rating Count: 
10.00
Rating Sum: 
31.00
Rating Average: 
3.10
Author (old format): 
Louis L. Pennisi
Applicable Course(s): 
3.3 Mainstream Calculus III, IV
4.13 Advanced Linear Algebra
Modify Date: 
Thursday, August 9, 2012
Average: 3.1 (10 votes)

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