MTH603 Solved Online Quizzes

TRUE FALSE

The Jacobi’s method is

A method of solving a matrix equation on a matrix that has ____ zeros along its main diagonal.

No At least one

A 3 x 3 identity matrix have three and __________eigen values. Same Different

Real Complex Zero Positive

The Jacobi iteration converges, if A is strictly diagonally dominant. TRUE FALSE

Below are all the finite difference methods EXCEPT _________.

Newton’s backward difference method Stirlling formula Forward difference method

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

TRUE FALSE

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

Two matrices with the same characteristic polynomial need not be similar.

TRUE FALSE

Bisection method is a

Regula Falsi means

Method of Correct position Method of unknown position Method of false position Method of known position

Real

Zero Positive Negative

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

TRUE

FALSE

TRUE

FALSE

The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric ________ definite matrices A.

Positive

Negative

Differences methods find the ________ solution of the system.

Numerical

Analytical

The Power method 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

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