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

2. .In Simpson’s Rule, we use parabolas to approximating each part of the curve. This proves to be very efficient as compared to Trapezoidal rule

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

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

6. Two matrices with the same characteristic polynomial need not be similar

7. In interpolation is used to represent the δ

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

9. Let A be an n ×n matrix. The number x is an eigenvalue of A if there exists a non-zero vector v such that _______.

10. The can be used only to find the eigenvalue of A that is largest in absolute value—we call this eigenvalue the dominant eigenvalue of A

11. 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?

12. If n x n matrices A and B are similar, then they have the different eigenvalues (with the same multiplicities).

13. The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric________ definite matrices A.

14. Exact solution of 2/3 is not exists.

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

16. The determinant of a diagonal matrix is the product of the diagonal elements

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

18. While using Relaxation method, which of the following is the Residuals for 1st iteration on the system; 2x+3y = 1, 3x +2y =4 ?

19. The base of the decimal system is _______

20. Euler's Method numerically computes the approximate derivative of a function

21. In …………… method, a system is reduced to an equivalent diagonal form using elementary transformations.

22. Eigenvalues of a symmetric matrix are all _______

23. 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?

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

25. Which of the following is a reason due to which the LU decomposition of the system of linear equations; x+y = 1, x+y =2 is not possible?

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

27. While solving a system of linear equations, which of the following approach is economical for the computer memory?

28. The need of numerical integration arises for evaluating the definite integral of a function that has no explicit ____________ or whose anti derivative is not easy to obtain

29. If the order of coefficient matrix corresponding to system of linear equations is 3*3 then which of the
following will be the orders of its decomposed matrices; ‘L’ and ‘U’?

30. When the condition of diagonal dominance becomes true in Jacobi’s Method.Then its means that the method is …………….