1. 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’?

2. Two matrices with the _______ characteristic polynomial need not be similar

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

4. Back substitution procedure is used in …………….

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

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

7. Numerical solution of 2/3 up to four decimal places is ________.

8. The characteristics polynomial of a 3x 3 identity matrix is __________, if x is the eigen values of the given 3 x 3 identity matrix. where symbol ^ shows power

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

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

11. If x is an eigen value corresponding to eigen value of V of a matrix A. If a is any constant, then x – a is an eigen value corresponding to eigen vector V is an of the matrix A - a I.

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

13. The linear equation: 2x+0y-2=0 has -------- solution/solutions

14. If the root of the given equation lies between a and b, then the first approximation to the root of the equation by bisection method is ……

15. ............lies in the category of iterative method.

16. For differences methods we require the set of values.

17. Eigenvalues of a _________ matrix are all real

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

19. Power method is applicable if the eigen values are ______________.

20. To apply Simpson’s 3/8 rule, the number of intervals in the following must be

21. Relaxation Method is a/an ……….

22. Bisection and false position methods are also known as bracketing method and are always

23. Eigenvalues of a symmetric matrix are all _______

24. Which of the following is the meaning of partial pivoting while employing the row transformations?

25. Differences methods find the ________ solution of the system.

26. Central Difference method is the finite difference method.

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

28. Gauss–Seidel method is also known as method of …………….

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

30. 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