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Browse Classroom Capsules and Notes

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Cramer's Rule gives an explicit formulation for the unique solution to a system of \(n\) equations in \(n\) unknowns when the coefficient matrix of the system is invertible.  The...

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

The author illustrates how certain determinants can be used to motivate students. The determinants in question have terms in artithmetic progressions.

The author describes a convenient method for calculating determinants where all entries on a given diagonal are equal and for some more general situations.

The author shows how to solve a class of analytic functions using an approach demonstrating a surprising connection between multivariable calculus and linear algebra.

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