MTH603 Midterm MCQs by VU Topper RM

Q1. Vu-Topper RM (1 marks)

In Jacobi’s Method, we assume that the …………elements do not vanish.

A. Diagonal

B. Off-diagonal C. Row D. Column

Q2. Vu-Topper RM (1 marks)

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

1. Direct
2. Iterative Page 69
3. Analytical
4. Graphical

Correct answer: Iterative Page 69

Q3. Vu-Topper RM (1 marks)

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

A. Gaussian Elimination Method

B. Jacobi’s method C. Gauss-Seidel method D. None of the given choices

Q4. Vu-Topper RM (1 marks)

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

A. True

B. False

Q5. Vu-Topper RM (1 marks)

The basic idea of relaxation method is to reduce the largest residual to A. One B. Two

C. Zero Page 83

Q6. Vu-Topper RM (1 marks)

The Jacobi’s method is a method of solving a matrix equation on a matrix that has no zeros along its____.

A. Main diagonal Page 104

B. last column C. last row D. first row

Q7. Vu-Topper RM (1 marks)

If A is a nxn triangular matrix (upper triangular, lower triangular) or diagonal matrix, the eigenvalues of A are the diagonal entries of A.

A. TRUE

B. FALSE

Q8. Vu-Topper RM (1 marks)

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

B. FALSE

Q9. Vu-Topper RM (1 marks)

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

Correct answer: All are equivalent

Q10. Vu-Topper RM (1 marks)

Gauss - Jordan Method is similar to … A. Gauss–Seidel method B. Iteration’s method C. Relaxation Method

D. Gaussian elimination method Page 95

Q11. Vu-Topper RM (1 marks)

While using Relaxation method, which of the following is the largest Residual for 1st iteration on thev system; 2x+3y = 1, 3x +2y = - 4?

1. -4
2. 3
3. 2
4. 1

Q12. Vu-Topper RM (1 marks)

Gauss–Seidel method is also known as method of …

A. Successive displacement Page 263

B. Iterations C. False position D. None of the given choices

Q13. Vu-Topper RM (1 marks)

Jacobi’s Method is a/an…

A. Iterative method Page 69

B. Direct method

Q14. Vu-Topper RM (1 marks)

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. A. (x-1)^3 B. (x+1)^3 C. x^3-1 D. x^3+1