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Thread: mth603 solved mcq's for midterm fall 2010 december 1

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    Icon19 mth603 solved mcq's for midterm fall 2010 december 1

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    Exact solution of 2/3 is not exists.
    TRUE
    FALSE

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

    no
    atleast one


    A 3 x 3 identity matrix have three and __________eigen values.
    same
    different


    Eigenvalues of a symmetric matrix are all _______ .
    real
    complex
    zero
    positive

    The Jacobi iteration converges, if A is strictly diagonally dominant.
    TRUE
    FALSE

    Below are all the finite difference methods EXCEPT _________.

    jacobiís method
    newton's backward difference method
    Stirlling formula
    Forward difference method

    If n x n matrices A and B are similar, then they have the same eigenvalues (with the same multiplicities).
    TRUE
    FALSE


    If A is a nxn triangular matrix (upper triangular, lower triangular) or diagonal matrix , the eigenvalues of A are the diagonal entries of A.

    TRUE
    FALSE

    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


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

    TRUE
    FALSE


    Question # 1 of 10 ( Start time: 10:22:24 AM ) Total Marks: 1

    Eigenvalues of a symmetric matrix are all _________.
    Select correct option:

    real
    zero
    positive
    negative



    Question # 2 of 10 ( Start time: 10:23:07 AM ) Total Marks: 1

    An eigenvector V is said to be normalized if the coordinate of largest magnitude is equal to zero.
    Select correct option:

    TRUE
    FALSE




    Question # 3 of 10 ( Start time: 10:23:55 AM ) Total Marks: 1


    Exact solution of 2/3 is not exists.
    Select correct option:

    TRUE
    FALSE


    Question # 4 of 10 ( Start time: 10:24:53 AM ) Total Marks: 1


    The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric ________ definite matrices A.
    Select correct option:

    positive
    negative




    Question # 5 of 10 ( Start time: 10:26:04 AM ) Total Marks: 1


    Differences methods find the ________ solution of the system.
    Select correct option:

    numerical
    Analytical




    Question # 6 of 10 ( Start time: 10:26:49 AM ) Total Marks: 1


    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.
    Select correct option:

    (x-1)^3
    (x+1)^3 i m not sure about this answer
    x^3-1
    x^3+1




    Question # 7 of 10 ( Start time: 10:28:08 AM ) Total Marks: 1

    The Power method can be used only to find the eigenvalue of A that is largest in absolute valueówe call this eigenvalue the dominant eigenvalue of A.
    Select correct option:

    TRUE
    FALSE




    Question # 8 of 10 ( Start time: 10:29:33 AM ) Total Marks: 1


    The Jacobiís method is a method of solving a matrix equation on a matrix that has no zeros along its ________.
    Select correct option:

    main diagonal
    last column
    last row
    first row i m not sure about this answer





    Question # 9 of 10 ( Start time: 10:30:33 AM ) Total Marks: 1


    If A is a nxn triangular matrix (upper triangular, lower triangular) or diagonal matrix , the eigenvalues of A are the diagonal entries of A.
    Select correct option:

    TRUE
    FALSE




    Question # 10 of 10 ( Start time: 10:31:28 AM ) Total Marks: 1


    A 3 x 3 identity matrix have three and different eigen values.
    Select correct option:

    TRUE
    FALSE





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