How to calculate the inverse matrix with determinants

In this video I will explain how calculate the inverse matrix with determinants.

In another video we saw how to calculate the inverse matrix with the Gaussian method, in this video we will calculate it with the determinants.

The formula:

We will first calculate the determinant, because if it is 0, it is not necessary to continue, since the inverse matrix will not exist.

Then we will make the adjoint matrix of A. You can see how to do it in previous videos.

Once we have the attached matrix, then we will make its transpose, keeping the diagonal and interchange the other elements.

It only remains to divide the matrix obtained by the determinant.

In the video you will see the practical verification of how to calculate the inverse matrix with determinants, of a matrix of value 2 and 3. In addition, if you are not sure you can continue practicing with problems of this type you can do the printable exercises with their solutions that I have left you on the web. Good luck in your studies!

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