Consider the function 10x_1 + 2x_2 - x_3 = 27 -3x_1 - 5x_2 + 2x_3 = -61.5 x_1 + x_2 + 6x_3 = -21.5 Using MATLAB left division operator solve this system. Solve the system by naive Gauss elimination. Show all steps of the computation. Clearly identify the pivot equations, the pivots and the factors that multiply pivot equation to reduce the system. Substitute your results into the original equation to check your answer. In MATLAB, construct the upper and lower triangular matrices and show that LU = A: the coefficient matrix Consider the function 10x_1 + 2x_2 - x_3 = 27 -3x_1 - 5x_2 + 2x_3 = -61.5 x_1 + x_2 + 6x_3 = -21.5 Using MATLAB left division operator solve this system. Solve the system by naive Gauss elimination. Show all steps of the computation. Clearly identify the pivot equations, the pivots and the factors that multiply pivot equation to reduce the system. Substitute your results into the original equation to check your answer. In MATLAB, construct the upper and lower triangular matrices and show that LU = A: the coefficient matrix