• Cyberian's Gold

    While using power method, the computed vector
    7dc43928-05c9-4039-90e8-0c385ec7359a-image.png
    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

    34d7833a-fd93-4a56-8acb-c8d6f94e2355-image.png

  • Cyberian's Gold

    @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

    2da1d8ee-9ab6-446e-8abc-b8c04cac0a93-image.png

  • Cyberian's Gold

    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

  • Cyberian's Gold

    @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⎤⎦⎥⎥

    d6dae8aa-c508-457c-8da9-89fdc73f4741-image.png

    Reff

  • Cyberian's Gold

    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⎤⎦⎥⎥

    d6dae8aa-c508-457c-8da9-89fdc73f4741-image.png

  • Cyberian's Gold

    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

    db019e5a-abbd-4499-a8b9-16e2aff62c5b-image.png

  • Cyberian's Gold

  • Cyberian's Gold

    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

    8fdaedf9-fa51-4500-bf15-2fe02e0dda84-image.png

  • Cyberian's Gold

    @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).

  • Cyberian's Gold

    @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.

  • Cyberian's Gold

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

    Hexadecimal
    Binary
    Octal
    Decimal

    73e21185-e63c-4c29-a88f-5b043564c201-image.png

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