# 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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File Content:
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