# MTH603 Grand Quiz Solution and Discussion

• If A=⎡⎣⎢⎢0131410−13⎤⎦⎥⎥
then by using Gaussian Elimination method the value of
A−1
will be • While using power method, the computed vector u(2)=⎛⎝⎜⎜5.5714289.5714212.21423⎞⎠⎟⎟
will be in normalized form as • While using Relaxation method, which of the following is the largest Residual for 1st iteration on the system;
2x+3y = 1, 3x +2y = - 4 ?
-4
3
2
1

• The 2nd row of the augmented matrix of the system of linear equations is:
2x+z=4
x-y+z=-3
-y+z=-5

1,-1, 0 and -3
1,-1, 1 and -3
1,-1, 0 and 3
1,-1, 0 and -5

• Which of the following system of equation is diagonally dominant?

2x+13y+5z=7
8x+y−z=5
x+2y+9z=3

8x+y−z=5
2x+13y+5z=7
x+2y+9z=3

x+2y+9z=3
8x+y−z=5
2x+13y+5z=7

8x+y−z=5
x+2y+9z=3
2x+13y+5z=7 • Differences methods are iterative methods.

In computational mathematics, an iterative method is a mathematical procedure that uses an initial guess to generate a sequence of improving approximate …

False

• Differences methods are iterative methods.

In computational mathematics, an iterative method is a mathematical procedure that uses an initial guess to generate a sequence of improving approximate …

• Differences methods are iterative methods.
True
False

• While using the Gauss-Seidel Method for finding the solution of the following system
2x+2y+z=3
x+3y+z=2
x+y+z=2

with the initial guess (0,0,0), the next iteration would be • Under iterative methods, the initial approximate solution is assumed to be………….

In computational mathematics, an iterative method is a mathematical procedure that uses an initial guess to generate a sequence of improving approximate …

• Under iterative methods, the initial approximate solution is assumed to be………….
Known
UnKnown
Found
No of the given • In Gauss-Jacobi’s method, the corresponding elements of
x(r+1)i
replaces those of
x®i
as soon as they become available.

True
False

• While using the Gauss-Seidel Method for finding the solution of the system of equation, the following system
x+2y+2z=3
x+3y+3z=2
x+y+5z=2

can be rewritten as

Reff

• If one root of the equation is-3-7i, then the other root will be

-3-7i
-3+7i
3-7i
3+7i  • If one root of the equation is-3-7i, then the other root will be

-3-7i
-3+7i
3-7i
3+7i

• In Jacobi’s Method, We assume that the …………elements does not vanish.

Mathematical Methods for Numerical Analysis and Optimization … Solution of Linear System of Equationsand Matrix Inversion Jacobi’s Method This is an iterative … We also assume that the diagonal element do not vanish.  7

8

5

4

6

2

2
• ## MTH603 Assignment 1 Solution and Discussion MTH603 - Numerical Analysis • assignment assignment 1 discussion fall 2020 mth603 solution • • zareen

3  | |