# Determinant of a 1×1 matrix

This post explains how to calculate the determinant of a 1×1 matrix, also you will see several examples so that you do not have any doubt how to do it. Although this kind of determinants are very rare, the determinants of 1×1 dimension matrices are very easy to solve, as you will see below.

## What is a determinant of a 1×1 matrix?

A 1×1 determinant is a matrix of order 1, that is of a row and a column, represented with a vertical bar at each side of the matrix. For example, the following matrix has a single row and a single column: Then, the determinant of matrix A is represented as follows: As you have seen, writing the determinant of a square 1×1 matrix is very simple, since the matrix is formed only by 1 row and 1 column and, therefore, the determinant consists of a single number.

## How to find the determinant of a 1×1 matrix?

When the matrix is of dimension 1×1, the determinant of this matrix has only one element. Therefore, the result of the determinant of a 1×1 matrix is that element itself.

## Examples of determinants 1×1

### Example 1

Calculate the determinant of the following 1×1 matrix: It is a 1×1 matrix, so the determinant of A is equal to the number that contains the matrix: ### Example 2

Find the determinant of the following 1×1 matrix: It is a square matrix of order 1, so the determinant of B is: Finding the determinant of a 1×1 matrix is not complicated, but you have to pay attention to the sign of the number.

Do not confuse the determinant of a 1×1 matrix with the absolute value of a number.

The result of a 1×1 determinant is always equal to the value of the matrix, regardless of the sign Instead, the absolute value transforms the number inside the operator into positive 