Inverse of a matrix solved example 03. In this post, we will solve one example and provide step by step solution.

## Inverse of a matrix solved example 03

Given matrix:

- Calculate the determinant of the matrix:

- Calculate the matrix of minors:

- Calculate the matrix of cofactors (alternating signs):

- Transpose the matrix of cofactors to get the adjugate matrix:

- Calculate the inverse by dividing the adjugate matrix by the determinant:

## Inverse of a matrix solved example 02

Given matrix:

- Calculate the determinant of the matrix:
- Calculate the matrix of minors:
- Calculate the matrix of cofactors (alternating signs):
- Transpose the matrix of cofactors to get the adjugate matrix:
- Calculate the inverse by dividing the adjugate matrix by the determinant:

## Inverse of a matrix solved example

Given matrix:

- Calculate the determinant of the matrix:
- Calculate the matrix of minors:
- Calculate the matrix of cofactors (alternating signs):
- Transpose the matrix of cofactors to get the adjugate matrix:
- Calculate the inverse by dividing the adjugate matrix by the determinant:

## Inverse of a matrix solved example

Given matrix:

- Calculate the determinant of the matrix:
- Calculate the matrix of minors:
- Calculate the matrix of cofactors (alternating signs):
- Transpose the matrix of cofactors to get the adjugate matrix:
- Calculate the inverse by dividing the adjugate matrix by the determinant:

## Inverse of a matrix solved example

Given matrix:

- Calculate the determinant of the matrix:

- Calculate the matrix of minors:

- Calculate the matrix of cofactors (alternating signs):

- Transpose the matrix of cofactors to get the adjugate matrix:

- Calculate the inverse by dividing the adjugate matrix by the determinant:

$\text{Inverse} = \frac{1}{\text{Det}} \cdot \text{Adjugate} =

\begin{bmatrix}

0.4 & 0.2 & -0.4 \\

**Your Answer is……**

Thank you for your patience.