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An Alternate Proof of Cramer's Rule

by Stephen H. Friedberg (Illinois State University)

This article originally appeared in:
College Mathematics Journal
March, 1988

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

The author provides a short proof of Cramer’s rule that avoids using the adjoint of a matrix.

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Capsule Course Topic(s):
Linear Algebra | Determinants
Linear Algebra | Matrix Invertibility
Linear Algebra | Solving Linear Systems: Algebraic
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