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Section 4

Determinants and Cramer's Rule

Book Version 13
By Boundless
Boundless Algebra
Algebra
by Boundless
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3 concepts
Determinants of 2-by-2 Square Matrices

The determinant of a square matrix is computed by recursively performing the Laplace expansion to find the determinant of smaller matrices.

Cofactors, Minors, and Further Determinants

The cofactor of an entry $(i,j)$ of a matrix $A$ is the signed minor of that matrix.

Cramer's Rule

Cramer's Rule uses determinants to solve for a solution to the equation $Ax=b$, when $A$ is a square matrix.

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