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A Geometrical Approach to Cramer's Rule

by J. W. Orr (Ireland)

This article originally appeared in:
Mathematics Magazine
February, 1989

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

Motivated by the interpretation of a determinant of a \(2 \times 2\) matrix as the area of a parallelogram, the author derives Cramer's rule geometrically.

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