1. The problem statement, all variables and given/known data Find the inverse matrix of A, then use this inverse to solve system of equation. A is a given 3 x 3 matrix and the system of equations is 3 equations in 3 unknowns. 2. Relevant equations 3. The attempt at a solution I have found the inverse of A using an augmented identity matrix. Checked this inverse by taking product of A and inverse A and got identity matrix. The system of equations is something like this (these are not the actual values): 6x - 2y = 10 14x - 4y + 4z = 3 6x - 2y + 2z = 14 Now when I take the product of inverse A and [10 3 14] to solve for x, y and z, putting these values into the original equations does not hold. I was told to try re-arrange the equations and compare to the inverse matrix, but can't seem to find a solution. Note that by swapping 2 rows in my inverse matrix the co-effiecients of the unkowns in the system of equations are the same as the entries in the matrix. Gee I hope that made sense.