Determinants

A quantity obtained by the addition of products of the elements according to a special rule in a square matrix is called the determinant of a matrix.

Introduction

Cases

The list of some popular matrices with examples to learn how to calculate the determinant of any square matrix systematically.

2 × 2 matrix

Learn the determinant formula for a $2$ by $2$ square matrix with definition and example problems to learn how to find the determinant of a square matrix of the order $2$.

3 × 3 matrix

Learn the determinant formula of a square matrix of the order $3$ with its definition and example problems to learn how to evaluate the determinant of a $3$ by $3$ square matrix.

4 × 4 matrix

Learn the determinant rule of a $4$ by $4$ square matrix with its fundamental definition and example problems with solutions to learn how to calculate the determinant of any matrix of the order $4$.