Employ 2 digit arithmetic with rounding to compute an approximate solution of the linear system 0.2x + 2y - 3z = 6, 5x + 43y + 27z = 58, 3x + 23.v - 42z = -87. Using the following methods:
(a) Regular Gaussian Elimination with Back Substitution;
(b) Gaussian Elimination with Partial Pivoting:
(c) Gaussian Elimination with Full Pivoting.
(d) Compare your answers and discuss their accuracy.