We are given the following matrix A such that,
We need to find the values of x, y and z such that
If
Pre-multiplying A on both sides, we get
where I is the identity matrix.
On equating the corresponding elements of matrix as the matrix is equal to each other.
We need basically 3 equations as we have 3 variables to solve for. You can pick any three elements and equate them.
We have the following equations,
By Adding equation 2 and 3, we get,