MTH603 Midterm Solved MCQs and Quizzes

Mth603 – Numerical Analysis · Midterm Solved Mcqs · & Quizzes · May 16,2012 · Midterm File · PSMD01 · Mth603- First Quizzes (11-11-2011) · QUIZ.NO.1(1)

Q1. of 10 (Total Marks: 1)

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

Direct

Graphical

Q2. of 10 (Total Marks: 1)

The basic idea of relaxation method is to reduce the largest residual to ………….

One Two

Zero (Page 83)

Q3. of 10 (Total Marks: 1)

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

main diagonal (Page 104)

last column last row first row

Q4. of 10 (Total Marks: 1)

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

FALSE

Q5. of 10 (Total Marks: 1)

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

FALSE

Q6. of 10 (Total Marks: 1)

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?

Associated coefficient matrix is singular All values of l’s and u’s can’t be evaluated Determinant of coefficient matrix is zero

All are equivalent

Q7. of 10 (Total Marks: 1)

Gauss - Jordan Method is similar to ……….

Relaxation Method

Gaussian elimination method (Page 95)

Q8. of 10 (Total Marks: 1)

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

Q9. of 10 (Total Marks: 1)

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

Successive displacement (Page 263)

Iterations False position

Q10. of 10 (Total Marks: 1)

Jacobi’s Method is a/an………………

Iterative method (Page 69)

Direct method

QUIZ.NO.1(2)

Q1. of 10 (Total Marks: 1)

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.

(x-1)^3 (x+1)^3

x^3-1

x^3+1

Q2. of 10 (Total Marks: 1)

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.

TRUE

FALSE

Q3. of 10 (Total Marks: 1)

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

Jacobi’s Gauss-Seidel Relaxation

Gaussian elimination (Page 262)

Q4. of 10 (Total Marks: 1)

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

Unique (Page 48)

no solution infinite many finite many

Q5. of 10 (Total Marks: 1)

Under elimination methods, we consider, Gaussian elimination and ……………methods.

Gauss-Seidel Jacobi