**Calculate the inverse 3×3 matrix online** step by step with our calculator that will allow you to find the inverse of a matrix instantly.

Just fill in correctly all the values that compose the 3×3 matrix and click on the calculate button to get the result step by step how its inverse matrix has been calculated from the formula we will see below. Discover **how to calculate the inverse of a 3×3 matrix**.

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## Formula for calculating the inverse matrix 3×3 and nxn

To calculate the inverse of a 3×3, 4×4 or nxn type matrix, just apply the formula above these lines.

In the formula to calculate the inverse matrix we can see that we have to calculate:

- The determinant of the starting matrix nxn
- Transpose the attached matrix

When we have both data, we make the corresponding division and we will obtain the inverse 3×3 matrix or the one of the nxn type we are looking for.

## Examples of 3×3 inverse matrix

Let's take a practical example **how to calculate the inverse 3×3 matrix** that we have just put.

### 1 - Calculate determinant of 3×3 matrix

As we have said in the previous point, the first thing we must do in order to **to draw the inverse 3×3 matrix** is calculate the determinant of the matrix.

When we have the result of the determinant, two things can happen:

- If the value of the determinant 3×3
**is equal to zero, then there is no inverse matrix**. - If the determinant has a non-zero heat, we can calculate its inverse.

### 2 - Calculate adjoining matrix

Now **let's calculate the attached matrix** and to do so, we must eliminate the row and the column in which each element of the matrix is located. With the remaining elements we will form a 2×2 determinant to be solved. This must be done with each and every one of the elements that form the matrix.

In addition, you must remember that the attached matrix has a specific order of symbols associated with each of the positions of the matrix as shown in the following figure:

Based on our example, it remains that the **step by step to calculate the attached matrix** is as follows:

Once we group the results obtained by calculating the adjoint determinant of each element of the matrix, we are left with the following **attached 3×3 matrix** is as follows:

### 3 - We transpose the attached matrix

This step is very fast, because in order to **make the transpose of the adjoining matrix**In the table below, we only have to exchange rows for columns. This leaves us with the following result:

### 4 - We apply the formula to obtain the inverse matrix 3×3

The fourth and final step is to apply the **formula to calculate the inverse matrix 3×3** we saw above.

We copy it, compile the results obtained in the previous operations and solve.

## How to extract the inverse 3×3 matrix in Excel

If you want to make your own **3×3 inverse matrix calculator with Excel**You can get it in a very simple way if you follow these steps:

- Open a new spreadsheet and write in it the 3×3 matrix for which you want to
**calculate its inverse.** - When you have it written, find a 3×3 range of empty cells and select it. When you have it, type the following Excel function that will allow you to
**calculate the inverse 3×3 matrix**(remember that between the parentheses will be the range of 3×3 cells in which you have written your matrix):

=MINVERSE()

- Now press simultaneously the CTRL + Shift keys on your keyboard and without releasing, press the ENTER key to accept the formula. If you have done it right,
**Excel will calculate the inverse matrix 3×3**automatically.

If you have any doubts about the procedure to follow, we recommend you to watch the video and you will find out. If you still have any doubts, leave us a comment and we will try to help you as soon as possible.

The video on how to calculate the inverse matrix in excel is missing or not available.