Can you please help with finding an inverse of an elementary matrices?
An elementary matrix is a kind of matrices that differ from the identity matrix from a single elementary operation. The elementary operation can be row operation or column operation. Thus after performing one elementary row operation or elementary column operation, the matrix changes to an identity matrix; such type of matrix is called an elementary matrix.
The inverse of elementary matrices is found from the result that when two matrices are multiplied with each other, and the resultant matrix is an identity matrix, then the multiplied matrix is the inverse of the other matrix.
It is represented as,
Here, A is the elementary matrix, is the inverse of the elementary matrix and I is the identity matrix.
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