Assume the following set of equations:

2x - y + z = 4

-3x + 2y - 3z = 8

4x - 2y + 2z = 8

i) Please put the system of equations into matrix form; (3 points)

ii) Please find its matrix of co-factors; (3 points)

iii) what is the determinant of this matrix? (3 points)

iv) Please prove that the value of the determinant in iii) is correct. (1 point)