5.4. Finding an Inverse with Gauss-Jordan Elimination
As mentioned earlier, a determinant is a cumbersome way of finding the inverse of a matrix larger than 2x2. Gauss-Jordan Elimination can be applied to a matrix to find an inverse if the matrix is augmented with the identity matrix 
. Once the matrix is row reduced it will be in the form 
. For simplicity, we will use the same matrix from the previous subsection on Gauss-Jordan Elimination. Even though the right-hand side of the augmented matrix has changed, the exact same row operations are applied to bring the matrix to RREF.
. Once the matrix is row reduced it will be in the form . For simplicity, we will use the same matrix from the previous subsection on Gauss-Jordan Elimination. Even though the right-hand side of the augmented matrix has changed, the exact same row operations are applied to bring the matrix to RREF.