MTH603 Quiz 1 by HB

1. In Gauss-Jacobi’s method, the corresponding elements of · x(r+1)ixi(r+1) · replaces those of · x(r)ixi(r)

as soon as they become available.

a. False

b. True

c. d.

Q2. While solving by Gauss-Seidel method, which of the following is the first Iterative solution for the system; x- 2y =1, x+4y=4 ?

1. (0,1)
2. (1, 0.75)
3. (0,0)
4. (1,0)

Q3. Jacobi’s Method is a/an………………

1. Iterative method
2. Direct method

c. d.

Q4. If there are three equations in two variables, then which of the following is true?

1. System may have infinite many solutions
2. All above possibilities exist depends on the coefficients of variables
3. System may have unique solutions
4. System may have multiple numbers of finite solutions

Q5. While solving a system of linear equations by Gauss Jordon Method, after all the elementary row operations if there lefts also zeros on the main diagonal then which of the is true about the system?

1. System may have infinite many solutions
2. System may have unique solutions
3. System may have multiple numbers of finite solutions
4. System has no solution

Q6. 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?

1. Determinant of coefficient matrix is zero
2. All values of l’s and u’s can’t be evaluated
3. All are equivalent
4. Associated coefficient matrix is singular

Q7. Sparse matrix is a matrix with ……….

1. Many elements are zero
2. Some elements are zero
3. Some elements are one
4. Many elements are one

Q8. Which of the following method is not an iterative?

1. Gauss–Seidel method
2. Relaxation Method
3. Gauss Jordan method
4. Iteration’s method

Q9. For the system; 2x+3y = 1, 3x +2y = - 4, if the iterative solution is (0,0) and ‘dxi = 2’ is the increment in ‘y’ then which of the following will be taken as next iterative solution?

1. (2,0)
2. (1,-4)
3. (0,3)
4. (0,2)

10.

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’?

1. Order of ‘L’ = 3*4, Order of ‘U’ = 4*3
2. Order of ‘L’ = 3*2, Order of ‘U’ = 2*3
3. Order of ‘L’ = 3*1, Order of ‘U’ = 1*3