Solve the following system of equations using the Gaussian algorithm with column pivoting and backward insertion:   2x2 − 4x3 + x4 = −8x1 + 2x2 + 3x3 − x4 = 3−3x1 + 2x3 + 2x4 = −32x1 + x2 − x4 = 2Column pivoting means that in the respective elimination stepsu. a row swap may be carried out in the respective elimination steps, so that the elimination elementa(m)mm is the largest element of the elimination column in terms of amount.