You will learn everything related to the inverse of matrices in this class after completion of this class you will have no doubt regarding inverse of matrices
Also, concept of minors and cofactors will be cleared in this class it will include 2 cross 2 and 3cross 3 matrices hope you guys will enjoy this session
The definition of a matrix inverse requires commutativity—the multiplication must work the same in either order.
To be invertible, a matrix must be square, because the identity matrix must be square as well
The inverse of matrix $[A]$ , designated as $[A]^{- 1}$ , is defined by the property:
$[A] [A]^{- 1} = [A]^{- 1} [A] = [I]$
Where $[I]$ is the identity matrix.
Note that, just as in the definition of the identity matrix, this definition requires commutativity—the multiplication must work the same in either order.
Note also that only square matrices can have an inverse. The definition of an inverse matrix is based on the identity matrix $[I]$ , and it has already been established that only square matrices have an associated identity matrix.
The method for finding an inverse matrix comes directly from the definition, along with a little algebra.