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# Determinant of 3x3 Matrix

Compute determinant of matrix

## Library

Utilities/Math Operations

## Description

The Determinant of 3x3 Matrix block computes the determinant for the input matrix.

The input matrix has the form of

`$A=\left[\begin{array}{ccc}{A}_{11}& {A}_{12}& {A}_{13}\\ {A}_{21}& {A}_{22}& {A}_{23}\\ {A}_{31}& {A}_{32}& {A}_{33}\end{array}\right]$`

The determinant of the matrix has the form of

`$det\left(A\right)={A}_{11}\left({A}_{22}{A}_{33}-{A}_{23}{A}_{32}\right)-{A}_{12}\left({A}_{21}{A}_{33}-{A}_{23}{A}_{31}\right)+{A}_{13}\left({A}_{21}{A}_{32}-{A}_{22}{A}_{31}\right)$`

## Inputs and Outputs

InputDimension TypeDescription

First

3-by-3 matrix

OutputDimension TypeDescription

First

Contains the determinant of input matrix.

#### Introduced before R2006a

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