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
xy+z=3
y+z=51,1, 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=38x+y−z=5
2x+13y+5z=7
x+2y+9z=3x+2y+9z=3
8x+y−z=5
2x+13y+5z=78x+y−z=5
x+2y+9z=3
2x+13y+5z=7 
@zaasmi said in MTH603 Grand Quiz Solution and Discussion:
@zaasmi said in MTH603 Grand Quiz Solution and Discussion:
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

@zaasmi said in MTH603 Grand Quiz Solution and Discussion:
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 GaussSeidel Method for finding the solution of the following system
2x+2y+z=3
x+3y+z=2
x+y+z=2with the initial guess (0,0,0), the next iteration would be

@zaasmi said in MTH603 Grand Quiz Solution and Discussion:
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 GaussJacobi’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 GaussSeidel Method for finding the solution of the system of equation, the following system
x+2y+2z=3
x+3y+3z=2
x+y+5z=2can be rewritten as

@zaasmi said in MTH603 Grand Quiz Solution and Discussion:
If one root of the equation is37i, then the other root will be
37i
3+7i
37i
3+7i 
If one root of the equation is37i, then the other root will be
37i
3+7i
37i
3+7i 
@zaasmi said in MTH603 Grand Quiz Solution and Discussion:
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.