MCQS Module 2 RGPV Mathematics III exam of mcq PDF

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RAJIV GANDHI PRODYOGIKI VISHWAVIDYALAYA (RGPV) MATHEMATICS – III MCQS

Module 2

Match the following: A. Runge-Kutta

1. Integration

B. Simpson’s Rule

2. Root finding of algebraic or transcendental equation

C. Gauss-Seidel

3. Ordinary Differential Equations

D. Newton’s Raphson

4. Solution of system of Linear Equations

The correct sequence is 

A2-B3-C4-D1



A3-B1-C4-D2



A3-B4-C2-D3



A4-B1-C2-D3

The Coefficient matrix in the system of n linear equations with n variables are reduce to ________________ when solved by Gauss- Elimination method 

Lower Triangular matrix



Upper Triangular Matrix



Orthogonal Matrix



Diagonal matrix

If ( )

(



0



1

) ( ), then for ( )

()

 

The error arise in Simpson’s rule for numerical integration with step size has order    

Which of the following is an iterative method? 

Gauss Jordan



Gauss Elimination



Gauss seidal



Factorization

Number of iteration depends on the _________ 

Initial value taken to start the iteration



Type of linear equations



Number of unknowns



Approximations to be done

The following system of equation has: x+y+z=4 3x + 3y + 3z = 12 5x + 5y + 6z = 10 •

Unique Solution

•

No solution

•

Infinitely many Solutions

•

Finite solutions

While evaluating the definite integral by Trapezoidal rule, the accuracy can be increased by taking 

Large number of sub-interval



Even number of sub-intervals



Odd number of sub-intervals



Number of intervals is multiple of 3

In solving simultaneous equation by Gauss-Jordan method, the coefficient matrix is reduced to 

Unit Matrix



Diagonal Matrix



Null Matrix



Square Matrix

Simpson 1/3rd rule is used only when the number of intervals n _____ 

n is multiple of 3



n is odd



n is even



n is multiple of 2 or 3

Which of the following methods is used for obtaining the inverse of matrix? 

Gauss Seidel method



Newton Raphson method



Gauss Jordan method



Secant Method

For solving system of equation AX=B using Crout’s method A= LU *

+,

*

+

   

Which of the following is an assumption of Jacobi’s method? 

The coefficient matrix has no zeros on its main diagonal



The rate of convergence is quite slow compared with other methods



Iteration involved in Jacobi’s method converges



The coefficient matrix has zeroes on its main diagonal

The transformation of coefficient matrix A (in AX=B) to upper triangular matrix is done using 

Elementary row transformations



Simultaneous row and column transformation



Successive division



Elementary column transformations

What is the main difference between Jacobi’s and Gauss-Seidal? 

Computations in Jacobi’s can be done in parallel but not in Gauss-seidal



Convergence in Jacobi’s method is faster



Gauss seidal cannot solve the system of linear equations in three variables whereas Jacobi cannot



Deviation from the correct answer is more in gauss seidal

Which of the following is not an iterative method? 

Jacobi’s method



Gauss Seidal method



Relaxation method



Gauss Jordan method

Which of the methods is direct method for solving simultaneous algebraic equations? 

Jacobi’s method



Relaxation method



Cramer’s rule



Gauss seidel method

The Jacobi’s method is a method of solving a matrix equation on a matrix that has no zeroes along ________ 

Leading diagonal



Last column



Last row



Non-leading diagonal

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