MTH603 Final Term Solved Paper by Haakim

The Jacobi’s method is A method of solving a matrix equation on a matrix that has

zeros along its main diagonal.

No

A 3 x 3 identity matrix have three and

eigen

values. Same

Real Comple x 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

MTH603 FINAL TERM SOLVED MCQs BY EMRAAN · HAAKIM · (VISIT VURANK FOR MORE)

TRUE FALSE

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

Main diagonal Last column Last row First row