Provided the given system of equations:
x + y + 5z = 0
2x + y + 9z = 30
x + 2y + 7z = 10
(a) Determine inverse of coefficient matrix by using row-reduction.
(b) Check that matrix which you have just discovered really is desired inverse. Illustrate the check.
(c) Use inverse matrix which you have found to solve original system of equations.