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Fields for Which the Principal Axis Theorem Is Valid

One version of the Principal Axis Theorem asserts that any symmetric matrix with entries in \( \mathcal{R}\) is similar over \(\mathcal{R}\) to a diagonal matrix.  The authors find necessary and sufficient conditions for a field \(K\) that make the Principal Axis Theorem valid over \(K\).

Old Node ID: 
3386
MSC Codes: 
12-XX
Author(s): 
A. Charnow (California State University -- Hayward) and E. Charnow (California State University -- Hayward)
Publication Date: 
Friday, February 5, 2010
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
October, 1986
Subject(s): 
Algebra and Number Theory
Abstract Algebra
Fields
Topic(s): 
Linear Algebra
Symmetric Matrices
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Publish Page: 
Furnished by JSTOR: 
Rating Count: 
26.00
Rating Sum: 
77.00
Rating Average: 
2.96
Applicable Course(s): 
3.8 Linear/Matrix Algebra
Modify Date: 
Friday, February 5, 2010
Average: 3 (26 votes)

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