Numerical Analysis Quiz#3, MCQs



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  1. 1)

    While solving a system of linear equations, which of the following approach is economical for the computer memory?

    • A) Direct
    • B) Iterative
    • C) Analytical
    • D) Graphical

  2. 2)

    The basic idea of relaxation method is to reduce the largest residual to ………….

    • A) One
    • B) Two
    • C) Zero
    • D) None of the given choices

  3. 3)

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

    • A) main diagonal
    • B) last column
    • C) last row
    • D) first row

  4. 4)

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

    • A) TRUE
    • B) FALSE

  5. 5)

    Gauss - Jordan Method is similar to ……….

    • A) Gauss–Seidel method
    • B) Iteration’s method
    • C) Relaxation Method
    • D) Gaussian elimination method

  6. 6)

    While using Relaxation method, which of the following is the largest Residual for 1st iteration on the system; 2x+3y = 1, 3x +2y = - 4 ?

    • A) -4
    • B) 3
    • C) 2
    • D) 1

  7. 7)

    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.

    • A) (x-1)^3
    • B) (x+1)^3
    • C) x^3-1
    • D) x^3+1

  8. 8)

    The linear equation: 2x+0y-2=0 has -------- solution/solutions

    • A) Unique
    • B) no solution
    • C) infinite many
    • D) finite many

  9. 9)

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

    • A) TRUE
    • B) FALSE

  10. 10)

    When the condition of diagonal dominance becomes true in Jacobi’s Method.Then its means that the method is …………….

    • A) Stable
    • B) Unstable
    • C) Convergent
    • D) Divergent