# Documentation

## Library

Utilities/Math Operations

## Description

The Adjoint of 3x3 Matrix block computes the adjoint matrix 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 adjoint of the matrix has the form of

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

where

`${M}_{ij}={\left(-1\right)}^{i+j}$`

## Inputs and Outputs

InputDimension TypeDescription
First Contains the acceleration in initial acceleration units.
OutputDimension TypeDescription
First Contains the acceleration in final acceleration units.