• Cyberian's Gold

    Two matrices with the _______ characteristic polynomial need not be similar.

    same
    different

    Two similar matrices have the same characteristic polynomial. The converse however is not true in general: two matrices with the same characteristic polynomial need not be similar.

  • Cyberian's Gold

    Jacobi’s Method is a/an………………

    Iterative method
    Direct method

  • Cyberian's Gold

    Whileusingtherelaxationmethodforfindingthesolutionofthefollowingsystem8x1+3x2−2x3=5 4x1+7x2+2x3=9 3x1+5x2+9x3=2withtheinitialvector(0,0,0),theresidualswouldbe

    16697dc9-d20f-425f-96b6-4560fcd4234d-image.png
    f4f69878-989d-475b-8579-10637530e6df-image.png

  • Cyberian's Gold

    Gauss - Jordan Method is similar to ……….

    Gauss–Seidel method
    Iteration’s method
    Relaxation Method
    Gaussian elimination method

  • Cyberian's Gold

    The first row of the augmented matrix of the system of linear equations is:
    2x+z=4
    x-y+z=-3
    -y+z=-5

    The first row of the augmented matrix of the system of linear equations is:
    2x+z=4
    x-y+z=-3
    -y+z=-5

  • Cyberian's Gold

    Choleskey’s reduction method is also called
    Bisection method

  • Cyberian's Gold

    While using the Gauss-Seidel Method for finding the solution of the system of equation, the following system
    2x+2y+z=3
    x+3y+z=2
    x+y+z=2
    can be rewritten as

    9d368b07-4944-42d6-bb4c-ee1ac68bc5ae-image.png

  • Cyberian's Gold

    While using the relaxation method for finding the solution of the below given system, which of the following increment will be introduced?
    b82963a6-7a1b-4b55-b369-e078eeff9981-image.png
    6x1−2x2+3x3=1
    −2x1+7x2+2x3=5
    x1+x2−5x3=−13

    cdf0be95-19d4-475c-8b7d-eae9df5db6ca-image.png

  • Cyberian's Gold

    The linear equation: x+y=1 has --------- solution/solutions.

    no solution
    unique
    infinite many
    finite many

  • Cyberian's Gold

    The characteristics polynomial of a 3x 3 identity matrix is __________, if x is the eigen values of the given 3 x 3 identity matrix. where symbol ^ shows power.

    (x-1)^3
    (x+1)^3
    x^3-1
    x^3+1

  • Cyberian's Gold

    @zaasmi said in MTH603 Grand Quiz Solution and Discussion:

    Gauss–Seidel method is similar to ……….

    In numerical linear algebra, the Gauss–Seidel method, also known as the Liebmann method or the method of successive displacement, is an iterative method used to solve a linear system of equations.

  • Cyberian's Gold

    Gauss–Seidel method is similar to ……….

    Iteration’s method
    Regula-Falsi method
    Jacobi’s method
    None of the given choices

  • Cyberian's Gold

    3x4−2x2−24=0 has at least−−−−complex root(s)?

    1
    2
    3
    4

  • Cyberian's Gold

    While using Jacobi method for the matrix
    d55afb60-d976-48e4-884e-6ca2dd548972-image.png
    A=⎡⎣⎢⎢200021012⎤⎦⎥⎥
    the value of ‘theta θ’ can be found as

    dddad4bf-adef-4377-90fc-83f055678def-image.png

  • Cyberian's Gold

    If A=⎡⎣⎢⎢⎢⎢⎢231024039⎤⎦⎥⎥⎥⎥⎥then by using Gaussian Elimination method the value of A−1 will be

    a317f0d2-e7cd-4558-b700-e0773a14748b-image.png

  • Cyberian's Gold

    While using the Gauss-Seidel Method for finding the solution of the following system
    3x+y+z=11
    2x+5y−z=16
    x+y+5z=4

    with initial guess (0,0,0), the next iteration would be
    be717c24-4f6b-43a6-abfc-cf09a8bf43e8-image.png

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