# Determinant of a 2x2 Matrix

**Formula:**`det = a * d - b * c`

## Introduction to Determinant of a 2x2 Matrix

The determinant of a 2x2 matrix is a scalar value that can be calculated using the elements of the matrix. For a 2x2 matrix, the determinant is computed using the formula `det = ad - bc`

, where `a`

, `b`

, `c`

, and `d`

are the elements of the matrix.

## Parameter usage:

`a`

= first element of the matrix`b`

= second element of the matrix`c`

= third element of the matrix`d`

= fourth element of the matrix

## Example valid values:

`a = 5`

,`b = -3`

,`c = 4`

,`d = 2`

## Output:

`det`

= determinant of the 2x2 matrix

## Data validation

None of the parameters have specific restrictions.

## Summary

This calculator takes the four elements of a 2x2 matrix as input and computes the determinant using the ad-bc formula.

Tags: Linear Algebra, Matrix, Determinant