1. How many Eigen vectors will exist corresponding to the function; Exp(ax) = e^ax, when the matrix operator is of differentiation?

2. Gauss - Jordan Method is similar to ……….

3. Eigenvectors of a symmetric matrix are orthogonal, but only for distinct eigenvalues

4. A 3 x 3 identity matrix have three and __________eigen values

5. The base of the decimal system is _______

6. Differences methods are iterative methods.

7. By using determinants, we can easily check that the solution of the given system of linear equation exits and it is unique

8. An eigenvector V is said to be normalized if the coordinate of largest magnitude is equal to zero

9. If a system of equations has a property that each of the equation possesses one large coefficient and the larger coefficients in the equations correspond to different unknowns in different equations, then which of the following iterative method id preferred to apply?

10. An improper integral is the limit of a definite integral as an endpoint of the interval of integration approaches either a specified real number or ∞ or -∞ or, in some cases as both endpoints approach limits.

11. To apply Simpson’s 1/3 rule, the number of intervals in the following must be

12. A 3 x 3 identity matrix have three and different eigen values

13. The absolute value of a determinant (|detA|) is the product of the absolute values of the eigenvalues of matrix A

14. Eigenvalues of a symmetric matrix are all _______

15. The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric positive definite matrices A.

16. Below are all the finite difference methods EXCEPT _________.

17. Eigenvalues of a _________ matrix are all real

18. Sparse matrices arise in computing the numerical solution of …………….

19. Central difference method seems to be giving a better approximation, however it requires more computations.

20. In ……………… method, the elements above and below the diagonal are simultaneously made zero.

21. In Jacobi’s Method, the rate of convergence is quite ______ compared with other methods

22. An indefinite integral may _________ in the sense that the limit defining it may not exist

23. For the equation
3 x 3x 1 0
, the root of the equation lies in the interval......

24. While solving by Gauss-Seidel method, which of the following is the first Iterative solution for the system; x-2y =1, x+4y=4 ?

25. Relaxation Method is a/an ……….

26. If the determinant of a matrix A is not equal to zero then the system of equations will have……….

27. By using determinants, we can easily check that the solution of the given system of linear equation ______ and it is ______.

28. Gauss–Seidel method is similar to ……….

29. While solving the system; x–2y = 1, x+4y = 4 by Gauss-Seidel method, which of the following ordering
is feasible to have good approximate solution?

30. Which of the following method is not an iterative method?