Margolis, Benjamin W. L.

Another Geometric Interpretation of Cramer’s Rule (Journal Article) - Philadelphia, PA :Taylor & Francis Group , September 2023 - 455-462p. - Mathematics Magazine Volume 96: Number 4, October 2023 .

***______________***



Abstract: We develop a geometric interpretation of Cramer’s rule as a generalization of projection onto orthogonal basis vectors using the rows of the adjugate. This interpretation makes connections between elementary linear algebra concepts like the solution to linear equations, inner products, and projections. Such connections are useful for introducing broader concepts related to Hilbert spaces and geometric algebras like Grassman algebra. Such connections were essential for the author’s mathematical education as an engineer.

0025-570X


geometric interpretation | Cramer’s rule | elementary linear algebra| Grassman algebra