Given the set, of linear equations: 2x_1 + x_2 - x_3 + 2x_4 = - 3 - x_1 + 2x_2 + x_3 + x_4 = 2 4x_1 + 2x_2 + x_3 - x_4 = 1 x_1 + x_2 + 2x_3 - x_4 = 1 (a) Write the system of equations in the form Ax = b (b) Use Guass-elemination method to solve for the unknowns (c) Write your answer an a column vector (d) Use matrix multiplication to verify your answer
Show transcribed image textGiven the set, of linear equations: 2x_1 + x_2 - x_3 + 2x_4 = - 3 - x_1 + 2x_2 + x_3 + x_4 = 2 4x_1 + 2x_2 + x_3 - x_4 = 1 x_1 + x_2 + 2x_3 - x_4 = 1 (a) Write the system of equations in the form Ax = b (b) Use Guass-elemination method to solve for the unknowns (c) Write your answer an a column vector (d) Use matrix multiplication to verify your answer