# Matrix Inverse

#### Calculating the Matrix Inverse for Determinants

#### Steps to Calculate the Matrix Inverse

1. Calculate the determinant of the matrix. If the determinant is zero, the matrix will not inverse.

2. The **adjugate matrix** can be found by replacing every element by its cofactor.

3.Calculate the transpose of the **adjugate matrix**.

4. The matrix inverse is equal to the inverse value of its determinant multiplied by the transpose of the adjugate matrix.

The matrix inverse can also be calculated by the Gaussian elimination method.

#### Examples

1. Find the inverse matrix:

2. For what values of x in the matrix does the matrix inverse not support?

For x = 0 , Matrix A has no inverse.