MTH603 Grand Quiz Solution and Discussion

[zaasmi]

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

Diagonal
Off-diagonal
Row
Column

[zaasmi]

While using Jacobi method for the matrix

A=⎡⎣⎢⎢2−10−120002⎤⎦⎥⎥
and ‘theta θ =pi/4’, the orthogonal matrix S1

[zaasmi]

@zaasmi said in MTH603 Grand Quiz Solution and Discussion:

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

Thus , when the matrix inverse A - 1 of the coefficient matrix A is computed , the solution … method for finding the inverse of a matrix is to perform the Gauss - Jordan … Methods of the first type are called direct methods or elimination methods .

[zaasmi]

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

Identity
Transpose
Inverse
None of the given choices

[zaasmi]

While using power method, the computed vector

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

[zaasmi]

@zaasmi said in MTH603 Grand Quiz Solution and Discussion:

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

[zaasmi]

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

smallest
largest
any positive
any negative

[zaasmi]

@zaasmi said in MTH603 Grand Quiz Solution and Discussion:

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⎤⎦⎥⎥

Reff

[zaasmi]

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⎤⎦⎥⎥

[zaasmi]

While using Relaxation method, which of the following is increment ‘dxi’corresponding to the largest Residual for 1st iteration on the system;
2x+3y = 1, 3x +2y = - 4 ?

-4
3 REF
2
1

[zaasmi]

@zaasmi said in MTH603 Grand Quiz Solution and Discussion:

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

The Jacobi method is a method of solving a matrix equation on a matrix that has no zeros along its main diagonal (Bronshtein and Semendyayev 1997, p. … Each diagonal element is solved for, and an approximate value plugged in. The process is then iterated until it converges.

[zaasmi]

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

[zaasmi]

@zaasmi said in MTH603 Grand Quiz Solution and Discussion:

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).

[zaasmi]

@zaasmi said in MTH603 Grand Quiz Solution and Discussion:

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.

[zaasmi]

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

Hexadecimal
Binary
Octal
Decimal