MTH603 Grand Quiz Solution and Discussion
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@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.
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@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).
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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 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.
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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 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⎤⎦⎥⎥ -
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 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
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While using power method, the computed vector
u(2)=⎛⎝⎜⎜6.5714289.5714211.21423⎞⎠⎟⎟
will be in normalized form asWhile 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
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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 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.
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While using Jacobi method for the matrix
A=⎡⎣⎢⎢2−10−120002⎤⎦⎥⎥
and ‘theta θ =pi/4’, the orthogonal matrix S1 -
In Jacobi’s Method, We assume that the …………elements does not vanish.
Diagonal
Off-diagonal
Row
Column -
@zaasmi said in MTH603 Grand Quiz Solution and Discussion:
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.
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If one root of the equation is-3-7i, then the other root will be
-3-7i
-3+7i
3-7i
3+7i