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Start Quiz

]]>Please read the following instructions carefully!

Quiz will be based upon Multiple Choice Questions (MCQs).

You have to attempt the quiz online. You can start attempting the quiz any time within given date(s) of a particular subject by clicking the link for Quiz in VULMS.

Each question has a fixed time of 90 seconds. So you have to save your answer before 90 seconds. But due to unstable internet speeds, it is recommended that you should save your answer within 60 seconds. While attempting a question, keep an eye on the remaining time.

Attempting quiz is unidirectional. Once you move forward to the next question, you can not go back to the previous one. Therefore before moving to the next question, make sure that you have selected the best option.

DO NOT press Back Button / Backspace Button while attempting a question, otherwise you will lose that question.

DO NOT refresh the page unnecessarily, specially when following messages appear

Saving…

Question Timeout: Now loading next question…

Javascript MUST be enabled in your browser; otherwise you will not be able to attempt the quiz.

If for any reason, you lose access to internet (like power failure or disconnection of internet), you will be able to attempt the quiz again from the question next to the last shown question. But remember that you have to complete the quiz before expiry of the deadline.

If any student failed to attempt the quiz in given time then no re-take or offline quiz will be held.

Start Quiz

]]>Hexadecimal

Binary

Octal

**Decimal**

The number system that is used in our daily life is called…system.

There are number of different numbering system which is in use for the unique ability to represent different numbers. Binary, Octal, Denary and Hexadecimal are number systems that are used in different aspects Denary number is the most commonly used number system which is frequently used in daily life.

]]>The number system that is used in our daily life is called…system.

There are number of different numbering system which is in use for the unique ability to represent different numbers. Binary, Octal, Denary and Hexadecimal are number systems that are used in different aspects Denary number is the most commonly used number system which is frequently used in daily life.

The numeration system we use in our daily lives is called base ten, also called **decimal or denary**. … “Base ten” means that numbers are represented by combinations of symbols (ciphers), of which there are only ten (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9).

False ]]>

]]>The Jacobi’s method is a method of solving a matrix equation on a matrix that has no zeros along its main diagonal.

2x+3y = 1, 3x +2y = - 4 ?

-4

**3** REF

2

1

|a12|

be numerically the largest off-diagonal element of A, then we can construct orthogonal matrix S1 by Jacobi’s method as

⎡⎣⎢⎢1000cosθsinθ0−cosθ−sinθ⎤⎦⎥⎥

⎡⎣⎢⎢cosθ0sinθ010−sinθ0cosθ⎤⎦⎥⎥

⎡⎣⎢⎢cosθ0sinθ010−sinθ0cosθ⎤⎦⎥⎥

⎡⎣⎢⎢cosθ0sinθ010−sinθ0cosθ⎤⎦⎥⎥

]]>Let [A] be a 3x3 real symmetric matrix with

|a12|be numerically the largest off-diagonal element of A, then we can construct orthogonal matrix S1 by Jacobi’s method as

⎡⎣⎢⎢1000cosθsinθ0−cosθ−sinθ⎤⎦⎥⎥

⎡⎣⎢⎢cosθ0sinθ010−sinθ0cosθ⎤⎦⎥⎥

⎡⎣⎢⎢cosθ0sinθ010−sinθ0cosθ⎤⎦⎥⎥

⎡⎣⎢⎢cosθ0sinθ010−sinθ0cosθ⎤⎦⎥⎥

smallest

largest

any positive

any negative

In Gauss-Seidel method, each equation of the system is solved for the unknown with -------- coefficient, in terms of remaining unknowns.

110 Solving each equation of the given system for the unknown with the **largest** coefficient in terms of the remaining unknowns, we have x = 37. Example 19. Solve the following system by Gauss–Seidel method : by Gauss–Seidel

u(2)=⎛⎝⎜⎜6.5714289.5714211.21423⎞⎠⎟⎟

will be in normalized form as

While using power method, the computed vector [{u^{(2)}} = \left( {\begin{array}{*{20}{c}} {6.571428}\{9.57142}\{11.21423} \end{array}} \right)] will be in normalized form as

]]>Identity

Transpose

**Inverse**

None of the given choices

]]>Gauss elimination and Gauss-Jordan methods are popular among many methods for finding the ………of a matrix.

A=⎡⎣⎢⎢2−10−120002⎤⎦⎥⎥

and ‘theta θ =pi/4’, the orthogonal matrix S1 ]]>

**Diagonal**

Off-diagonal

Row

Column

In Jacobi’s Method, We assume that the …………elements does not vanish.

Mathematical Methods for Numerical Analysis and Optimization … Solution of Linear System of Equationsand Matrix Inversion Jacobi’s Method This is an iterative … We also assume that the **diagonal** element do not vanish.

-3-7i

**-3+7i**

3-7i

3+7i

]]>If one root of the equation is-3-7i, then the other root will be

-3-7i

-3+7i

3-7i

3+7i

x+2y+2z=3

x+3y+3z=2

x+y+5z=2

can be rewritten as

]]>x(r+1)i

replaces those of

x®i

as soon as they become available.

True

False

Known

UnKnown

Found

Under iterative methods, the initial approximate solution is assumed to be………….

In computational mathematics, an iterative method is a mathematical procedure that uses an initial guess to generate a sequence of improving approximate …

]]>2x+2y+z=3

x+3y+z=2

x+y+z=2

with the initial guess (0,0,0), the next iteration would be

]]>True

False ]]>

Differences methods are iterative methods.

In computational mathematics, an iterative method is a mathematical procedure that uses an initial guess to generate a sequence of improving approximate …

]]>