# Adjoint Matrix (Geometric Meaning, Properties & Applications)

Adjoint Matrix, also known as adjugate matrix, is a matrix that if formed by the transpose of the cofactor matrix for any given square matrix.

Adjoint of matrix is not only used to find the inverse of a matrix. Even if the inverse of matrix don't exist, adjoint of a matrix is well-defined and meaningful.

Even if inverse don't exists, adjoint of matrix exists and is well-defined

## Geometric Meaning of Adjoint Matrix

## How to find Adjoint Matrix

Calculating the adjoint of matrix is a simple process.

Form a new matrix with the same dimenions as the original matrix. And for all elements replace the elements with the cofactor of the original matrix.

Co-factor of the matrix

## Properties of Matrix Adjoint

## Applications of Matrix Adjoint

### Adjoint

### Minor

### Cofactor

## Frequently Asked Questions

### Difference between Adjoint and Adjugate Matrix

### Do non-square matrix have adjoint matrix?

### Do non-square matrix have adjugate matrix?