An industrial organization produces four items, x, x2, x3, and x. a portion of the amount produced for each is used in the manufacture of other items, and the net product is sold. the balance between the output and the production rate, resulting from the various inputs, gives rise to the following four equations, corresponding to the four tems: 2x1 + x2 + 0a3 + 6x4 = 64 5 + 2x2 + 0.x3 +0x4 = 37 0.xi + 7x2 + 2x3 + 2x4 = 66 0.x +028x3 9x4 104 using gauss-jordan elimination, with pivoting, solve this set of equa- tions. also, use crout's method and compare the results obtained with those from the former method. comment on the difference between the two methods. check the results obtained by also solving the prob- lem using the lu matrix decomposition command in matlab