An inverse of a 2x2 matrix is simply a separate 2x2 matrix, which when multiplied with the initial matrix, yields an identity matrix. The existence of such a matrix is contingent upon the determinant of the original matrix not being zero. The process of obtaining this inverse matrix involves utilizing the elements of the first matrix and the reciprocal of its determinant.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the inverse, if it exists, for the given mat… | We are given the matrix A = \(\begin{bmatrix} -3 & -1 \\ -2 & -1 \end{bmatrix}\) |