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Proof without Words: A 2 x 2 Determinant Is the Area of a Parallelogram

by Solomon W. Golomb (University of Southern California)

This article originally appeared in:
Mathematics Magazine
March, 1985

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

The author presents a visual proof that the determinant of a 2 by 2 matrix equals the area of the corresponding parallelogram.


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