• Cyberian's Gold

    @zaasmi said in MTH603 Quiz 1 Solution and Discussion:

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

    The number system that we use in our day-to-day life is the decimal number system. Decimal number system has base 10 as it uses 10 digits from 0 to 9.

  • Cyberian's Gold

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

  • Cyberian's Gold

    While using power method, from the resultant normalize vector
    u(2)=11.4817⎛⎝⎜⎜0.3981760.8212671.0⎞⎠⎟⎟

    we have the largest eigen value and the corresponding eigenvector as

    f25a99e6-7ad4-4faf-a2af-2ffad5523b7c-image.png

  • Cyberian's Gold

    How many Eigen values will exist corresponding to the function; Exp(ax) = e^ax, when the matrix operator is of differentiation?

  • Cyberian's Gold

    While using Gaussian Elimination method, which of the following augmented matrix is in upper triangular form?

    4f311f6d-c2ad-48b7-8db1-72f59edb7d23-image.png

  • Cyberian's Gold

    Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix?

    0e3bef94-9f50-4368-b91f-e475c9223421-image.png

  • Cyberian's Gold

    The eigenvectors of a square matrix are the non-zero vectors that, after being multiplied by the matrix, remain …………… to the original vector.
    30cba6bb-c62e-400d-939d-25c07fbfa5cb-image.png

  • Cyberian's Gold

    The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric positive definite matrices A.

    The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric________ definite matrices. Explanation: Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric positive definite matrices because only in this case convergence is possible.

  • Cyberian's Gold

    @zareen said in MTH603 Quiz 1 Solution and Discussion:

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

    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. 892). Each diagonal element is solved for, and an approximate value plugged in. The process is then iterated until it converges.

  • Cyberian's Gold

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

  • Cyberian's Gold

    How many Eigen values will exist corresponding to the function; Exp(ax) = e^ax, when the matrix operator is of differentiation?

    Finite Multiple
    Infinite many
    Unique
    None

  • Cyberian's Gold

    While using the relaxation method for finding the solution of the following system
    11x1+x2−x3=8
    x1+8x2+5x3=9 with the initial vector (0,0,0), the residuals would be
    x1+x2+9x3=7

    3b49ddb4-4d03-4392-9182-3df487455aa8-image.png

  • Cyberian's Gold

    Jacobi’s method is highly recommended for ………… matrix to compute all the Eigen values and the corresponding eigenvectors.

    Real symmetric
    Non real symmetric
    real un-symmetric
    non of given

  • Cyberian's Gold

    @zareen said in MTH603 Quiz 1 Solution and Discussion:

    Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix?

    a3caefa5-00fb-494d-be9b-8e3ee3b50ede-image.png

    340af9c9-eeb5-42a6-9354-1354f6c1b3e3-image.png

  • Cyberian's Gold

    Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix?

    a3caefa5-00fb-494d-be9b-8e3ee3b50ede-image.png

  • Cyberian's Gold

    @zareen said in MTH603 Quiz 1 Solution and Discussion:

    The Jacobi’s method is a method of solving a matrix equation on a matrix that has ____ zeros along its main diagonal.

    NO

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