A system of linear equations can be solved using matrices. The equation must be organized into a Coefficient matrix, an Unknown matrix and a Constant matrix. In Excel, the solution was determined by typing the following equation: mmult(minverse(Coef),Const)), where Coef and Const are the Coefficient and Constant matrices. The equation is executed by typing the keyboard sequence "Ctrl-Shift-Enter" The solution in Matlab has some similarities and differences. In Matlab, you must also create the Coef, and Const matrices, as in Excel. However, the solution to the unknowns is found by typing: Unknowns CoefConst; For the following problem, use Matlab matrix operations to calculate the values of unknown mass flow rates A, B, P, Q, and R. A distillation column, shown below, is used for separating mixtures. The input streams have a fixed composition. P kg/h pp pentane hp hexane Op octane ba other A kg/h A 0.105 pentane 0.790 hexane OA 0.015 octane bal other B kg/h p 0.197 pentane hs 0.165 hexane 0s 0.605 octane ba other Q kg/h p pentane ho hexane oQ octane ba other R kg/h pR pentane he hexane OR octane ba other Derive the mass balance equations in terms of algebraic variables, assuming that the capacity (i.e. total input or total output) of the column is 200.0 kg/h. Using the information provided in the following table, solve for the mass flow rates A, B, P, Q and R, using the matrix operations in Matlab. pentane 0.825 0.225 0.019 hexane 0.105 0.500 0.174 octane 0.040 0.225 0.765 other balance balance balance