MTH603 Quiz 2 by VU Topper RM

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

A. Infinite many B.

Unique

C. None D. Finite Multiple

Jacobi’s method is highly recommended for ………… matrix to compute all the Eigen values and the corresponding eigenvectors. A. None of the given choices B. non real symmetric C. real un-symmetric D.

real symmetric

For a function; y=f(x), if y0, y1 and y2 are 2,3 and 5 respectively then which of the following will be 2nd order Leading difference at y0 = 2 ? A. B. C. -2 D. -1

Direct methods can be more rapid than iterative algorithms. A.

true

B. false If the product of two matrices is an identity matrices that is AB = I, then which of the following is true? A. B is singular B. A is singular C.

A is inverse of B

D. A is transpose of B

A and its transpose matrix have _______ eigenvalues. A.

same

B. different

For differences methods we require the initial approximation.

A. true

B. false

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 ok

B. False C. Both D. None

Q5. Vu-Topper RM (1 marks)

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

D. 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 ok

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