How to calculate the determinant of a 2x2 matrix

The determinant of a 2x2 square matrix is equal to the product of the elements on the main diagonal (ad) minus the product of the elements on the antidiagonal (bc).

The determinant formula

the formula for calculating the determinant of a square matrix of order 2

A practical example

Exercise 1

Given a matrix M with two rows and two columns.

an example of a 2x2 square matrix

The determinant of the matrix is

the determinant of the 2x2 matrix

The determinant of the matrix is equal to -2.

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