What is the shortest way to find inverse of a matrix? I know two methods to find the inverse of a matrix already:-


Row and Column transformations
$A^{-1}= \frac{Adj(A)}{Det(A)}$


I want to know if there's any shorter method to do so because these two methods feel very lengthy.
I always use the method where you use Gauss row operations against the identity matrix to find the inverse.
Basically you put the matrix you want to know the inverse of, called A, on &quot;the left side&quot; and the identity matrix, called I, &quot;on the right side&quot;. Then you use regular Gauss row operations to transfer the identity matrix to the left side and the one you end up with on the right side is your inverse.
Here is an example:
Where A is the matrix and A^-1 is it's inverse.
I always use the method where you use Gauss row operations against the identity matrix to find the inverse.
Basically you put the matrix you want to know the inverse of, called A, on &quot;the left side&quot; and the identity matrix, called I, &quot;on the right side&quot;. Then you use regular Gauss row operations to transfer the identity matrix to the left side and the one you end up with on the right side is your inverse.
Here is an example:
Where A is the matrix and A^-1 is it's inverse.