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MTH603_ Numerical Analysis

Quiz no.02 Solution n Discussion

May 29, 2014,

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Question # 1 of 10 ( Start time: 02:53:23 PM ) Total Marks: 1
Differences methods find the ________ solution of the system.
Select correct option:

numerical
Analytical
answer: 1


Question # 2 of 10 ( Start time: 02:54:17 PM ) Total Marks: 1
The determinant of a _______ matrix is the product of the diagonal elements.
Select correct option:

diagonal
upper triangular
lower triangular
scalar
answer: 1


Question # 3 of 10 ( Start time: 02:55:12 PM ) Total Marks: 1
Central Difference method is the finite difference method.
Select correct option:

TRUE
FALSE
answer: true


Question # 4 of 10 ( Start time: 02:55:33 PM ) Total Marks: 1
Eigenvalues of a symmetric matrix are all _________.
Select correct option:

real
zero
positive
negative
answer:1



Question # 5 of 10 ( Start time: 02:56:10 PM ) Total Marks: 1
Two matrices with the same characteristic polynomial need not be similar.
Select correct option:

TRUE
FALSE
answer: 1

Question # 6 of 10 ( Start time: 02:56:51 PM ) Total Marks: 1
The eigenvectors of a square matrix are the non-zero vectors that, after being multiplied by the matrix, remain …………… to the original vector.
Select correct option:

Perpendicular
Parallel
Diagonal
None of the given choices
answer: 2


Question # 7 of 10 ( Start time: 02:57:28 PM ) Total Marks: 1
The Jacobi’s 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
answer: 1


Question # 8 of 10 ( Start time: 02:57:55 PM ) Total Marks: 1
If n x n matrices A and B are similar, then they have the same eigenvalues (with the same multiplicities).
Select correct option:

TRUE
FALSE
answer: true


Question # 9 of 10 ( Start time: 02:58:46 PM ) Total Marks: 1
The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric ________ definite matrices A.
Select correct option:

positive
negative
answer: 1


Question # 10 of 10 ( Start time: 02:59:13 PM ) Total Marks: 1
Central difference method seems to be giving a better approximation, however it requires more computations.
Select correct option:

TRUE
FALSE
answer: 2

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