Question

(b) Determine the inverse of the following matrix using elementary row operations 0 1 [ 3 C = -1 2 5 O-11VIMU (50 marks) Given the vector field F = x2i +2xj + z?k and the closed curve is a square with vertices at (0,0,3), (1, 0, 3), (1, 1, 3), and (0, 1,3), verify Stoke's Theorem (a) 5. (50 marks) Use the Gauss-Seidel iterative technique to find approximate solutions to (b) 6 +2x3 10x1 +3x4 11x2 X3 11 x4 +10x3 2x1 -X2 +8x4 3x2 15 x3 b Starting with X(0)= [0 0 0 0 and iterating until l2 (4)-x(k-1)| lx (R) |l 10- Note: Use rounding to 4 decimal places in all calculations. 25

Answer 1

matsix Augmentes o 1 3 1 O 2 2 -1 O 1 3 3 R2+ RI ( L 7 3 R3-5R O 3 -5 -3 ーち N 0 0 0 9 o o NO

1 O 1 7R3 t5 Re -30 21 1 7 -7 -14 21 15 21 -30 1 2 - 2 -14 -7 2 1 21 30 4/3 -7s -2 - 1 3 R2 10/3 s 2 7 O.333 iprese matriy is . The -2 2 3 - 13 213 1C Go lo 3.333 2.333 NM H d o6 ○0の - tO O tO

For any doubt please leave a comment.