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A Transfer Device for Matrix Theorems

by William Wardlaw (U. S. Naval Academy)

This article originally appeared in:
Mathematics Magazine
February, 1986

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

The author presents a method to transfer matrix identities over the real numbers to matrix identities over an arbitrary commutative ring.  Several examples are given, including \(\det(AB)= \det(A) \det(B) \), the Cayley-Hamilton Theorem, and identities involving adjoint matrices.

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Capsule Course Topic(s):
Linear Algebra | Determinants
Linear Algebra | Matrix Algebra
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