Use the following system of equations to solve problems X1 + 3x2 + 2x3 = 4 6x1 + 4x2 + 7x3 = 10 5x1 + 8x2 + 6x3 = 14 5) (4 points) Use Gauss Elimination with Partial Pivoting to solve for the fully eliminated matrix for the system above. The fully eliminated matrix would be... a. [647 10; 0 4.667 0.167 5.667; 0 0 0.75 -0.5] b. [647 10; 0 3.333 1.333 1.333; 0 0 0.50 -0.2] c. [647 10; 0 1.333 1.833 0.333; 0 0 0.25 0.2] d. [647 10; 0 4.333 2.333 -0.333; 0 0 -0.25 0.5] e. None of the above 6) (4 points) Use Doolittle's Decomposition without any pivoting to solve the system above, what would the "d" vector be? a. [7; -40; -24] b. [8; -43; -22] c. [9-45; -20] d. [10; 48; -18] e. None of the above 8) (4 points) Use Gauss-Seidel to perform 1 full iteration of the following system. What is your guess of the x values after 1 full iteration? 0 5 0 3 0 1 x1 4 0 1 0 2 0 5 x2 9 8 0 10 60 x3 12 = 0 1 0 3 0 1 x4 8 1 0 6 0 30 x5 7 20 20 40 x6 6 a. X b. X c. X [1.500; 0.800; 0.6667; 2.000; 0.1667; 0.3400] [1.500; 0.800; 0.9167; 2.400; 0.2917; 0.6800] [1.500; 0.800; 1.3333; 2.800; 0.4667; 0.9500] d. x = [1.500; 0.800; 1.1667; 3.200; 0.7716; 1.2800] e. None of the above