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Dear Students:
Your QUIZ 2 will be started on December 16, 2013 at 00:00 and will be closed on December 17, 2013 at 23:59.
The quiz will be from Lecture No. 15 to Lecture No.19.
Before starting QUIZ, Please read the instructions carefully.
* Quiz is based upon Multiple Choice Questions (MCQs).
* You have to attempt the quiz online. You can start attempting the quiz any time within given date(s) of a by clicking the link for Quiz in LMS.
* The time to attempt the Quiz is limited. Once you login to attempt the quiz, the countdown will start and you have to complete the quiz in given amount of time. So always keep an eye on the remaining time.
* Attempting quiz is unidirectional. Once you move forward to the next question, you can not go back to the previous one. Therefore before moving to the next question, make sure that you have selected the best option.
* If for any reason, you lose access to internet (like power failure or disconnection of internet), you will be able to attempt the quiz again from the position where you left in last attempt. But remember that you have to complete the quiz before expiry of the deadline.
* If any student failed to attempt the quiz in given time then no re-take or offline quiz will be held.
Best of Luck
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+ Click Here to Search (Looking For something at vustudents.ning.com?) + Click Here To Join (Our facebook study Group)Question # 1
Differences methods find the ________ solution of the system.
Select correct option:
Numerical
Analytical
Question # 2
The Power method can be used only to find the eigenvalue of A that is largest in absolute value—we call this eigenvalue the dominant eigenvalue of A.
Select correct option:
TRUE
FALSE
Question # 3
If n x n matrices A and B are similar, then they have the different eigenvalues (with the same multiplicities).
Select correct option:
TRUE
FALSE
Question # 4
Eigenvalues of a _________ matrix are all real.
Select correct option:
Symmetric
Antisymmetric
Rectangular
triangular
Question # 5
By using determinants, we can easily check that the solution of the given system of linear equation exits and it is unique.
Select correct option:
TRUE
FALSE
Question # 6
The dominant eigenvector of a matrix is an eigenvector corresponding to the eigenvalue of largest magnitude (for real numbers, smallest absolute value) of that matrix.
Select correct option:
TRUE
FALSE
Question # 7
Eigenvalues of a symmetric matrix are all _______ .
Select correct option:
Real
Complex
Zero
positive
Question # 8
Below are all the finite difference methods EXCEPT _________.
Select correct option:
jacobi’s method
newton's backward difference method
Stirlling formula
Forward difference method
Question # 9
The central difference method is finite method.
Select correct option:
True
False
Question # 10
Power method is applicable if the eigen vectors corresponding to eigen values are linearly _______.
Select correct option:
Independent
Dependent
Question #11
Central difference method seems to be giving a better approximation, however it requires more computations.
Select correct option:
TRUE
FALSE
Question #12
The Jacobi iteration ______, if A is strictly diagonally dominant
Select correct option:
Converges
Diverges
Question #13
Power method is applicable if the eigen values are ______________.
Select correct option:
real and distinct
real and equal
positive and distinct
negative and distinct
Question #14
determinant of a diagonal matrix is the product of the diagonal elements.
Select correct option:
TRUE
FALSE
Question #15
If n x n matrices A and B are similar, then they have the _____ eigenvalues (with the same multiplicities).
Select correct option:
same
different
Question #17
An eigenvector V is said to be normalized if the coordinate of largest magnitude is equal to ______.
Select correct option:
Unity
Zero
Eigenvalues of a symmetric matrix are all _________. Real Zero Question # 3 of 10 ( Start time: 05:52:09 PM ) Total Marks: 1 The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric positive definite matrices A. Select correct option: TRUE FALSE Quiz Start Time: 05:49 PM Time Left 29 sec(s) Question # 4 of 10 ( Start time: 05:53:07 PM ) Total Marks: 1 Central difference method seems to be giving a better approximation, however it requires more computations. Select correct option: TRUE FALSEQuiz Start Time: 05:49 PM Time Left 34 sec(s) Question # 5 of 10 ( Start time: 05:54:29 PM ) Total Marks: 1 Eigenvectors of a symmetric matrix are orthogonal, but only for distinct eigenvalues. Select correct option: TRUE FALSE Quiz Start Time: 05:49 PM Time Left 75 sec(s) Question # 6 of 10 ( Start time: 05:55:50 PM ) Total Marks: 1 A 3 x 3 identity matrix have three and different eigen values. Select correct option: TRUE FALSE Quiz Start Time: 05:49 PM Time Left 68 sec(s) Question # 7 of 10 ( Start time: 05:56:23 PM ) Total Marks: 1 Eigenvalues of a _________ matrix are all real. Select correct option: Symmetric Antisymmetric Rectangular triangular Quiz Start Time: 05:49 PM Time Left 87 sec(s) Question # 9 of 10 ( Start time: 05:58:31 PM ) Total Marks: 1 For differences methods we require the initial approximation. Select correct option: TRUE FALSE Eigenvalues of a symmetric matrix are all _________. Real Zero Best of Luck |
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 31
sec(s)
Question # 1 of 10 ( Start time: 09:38:10 PM ) Total Marks: 1
Two matrices with the same characteristic polynomial need not be similar.
Select correct option:
TRUE
FALSE
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 64
sec(s)
Question # 2 of 10 ( Start time: 09:39:22 PM ) 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
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 24
sec(s)
Question # 3 of 10 ( Start time: 09:40:41 PM ) Total Marks: 1
If n x n matrices A and B are similar, then they have the different eigenvalues (with the same multiplicities).
Select correct option:
TRUE
FALSE
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 66
sec(s)
Question # 4 of 10 ( Start time: 09:42:00 PM ) Total Marks: 1
By using determinants, we can easily check that the solution of the given system of linear equation ______ and it is ______.
Select correct option:
exits, unique
exists, consistent
trivial, unique
nontrivial, inconsistent
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 4
sec(s)
Question # 4 of 10 ( Start time: 09:42:00 PM ) Total Marks: 1
By using determinants, we can easily check that the solution of the given system of linear equation ______ and it is ______.
Select correct option:
exits, unique
exists, consistent
trivial, unique
nontrivial, inconsistent
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 74
sec(s)
Question # 5 of 10 ( Start time: 09:43:34 PM ) Total Marks: 1
Central Difference method is the finite difference method.
Select correct option:
TRUE
FALSE
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 73
sec(s)
Question # 6 of 10 ( Start time: 09:44:38 PM ) 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
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 26
sec(s)
Question # 6 of 10 ( Start time: 09:44:38 PM ) 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 Ans
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 69
sec(s)
Question # 7 of 10 ( Start time: 09:45:57 PM ) Total Marks: 1
A 3 x 3 identity matrix have three and different eigen values.
Select correct option:
TRUE
FALSE
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 6
sec(s)
Question # 7 of 10 ( Start time: 09:45:57 PM ) Total Marks: 1
A 3 x 3 identity matrix have three and different eigen values.
Select correct option:
TRUE
FALSE
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 33
sec(s)
Question # 8 of 10 ( Start time: 09:47:25 PM ) Total Marks: 1
The absolute value of a determinant (|detA|) is the product of the absolute values of the eigenvalues of matrix A
Select correct option:
TRUE
FALSE
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 68
sec(s)
Question # 9 of 10 ( Start time: 09:48:32 PM ) Total Marks: 1
Let A be an n ×n matrix. The number x is an eigenvalue of A if there exists a non-zero vector v such that _______.
Select correct option:
Av = xv
Ax = xv
Av + xv=0
Av = Ax
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 18
sec(s)
Question # 9 of 10 ( Start time: 09:48:32 PM ) Total Marks: 1
Let A be an n ×n matrix. The number x is an eigenvalue of A if there exists a non-zero vector v such that _______.
Select correct option:
Av = xv
Ax = xv
Av + xv=0
Av = Ax
http://quiz.vu.edu.pk/QuizQuestion.aspx?ver=bf207443-1fa9-415b-a850...
solved quiz
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 31
sec(s)
Question # 1 of 10 ( Start time: 09:38:10 PM ) Total Marks: 1
Two matrices with the same characteristic polynomial need not be similar.
Select correct option:
TRUE
FALSE
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 64
sec(s)
Question # 2 of 10 ( Start time: 09:39:22 PM ) 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
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 24
sec(s)
Question # 3 of 10 ( Start time: 09:40:41 PM ) Total Marks: 1
If n x n matrices A and B are similar, then they have the different eigenvalues (with the same multiplicities).
Select correct option:
TRUE
FALSE
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 66
sec(s)
Question # 4 of 10 ( Start time: 09:42:00 PM ) Total Marks: 1
By using determinants, we can easily check that the solution of the given system of linear equation ______ and it is ______.
Select correct option:
exits, unique
exists, consistent
trivial, unique
nontrivial, inconsistent
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 4
sec(s)
Question # 4 of 10 ( Start time: 09:42:00 PM ) Total Marks: 1
By using determinants, we can easily check that the solution of the given system of linear equation ______ and it is ______.
Select correct option:
exits, unique
exists, consistent
trivial, unique
nontrivial, inconsistent
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 74
sec(s)
Question # 5 of 10 ( Start time: 09:43:34 PM ) Total Marks: 1
Central Difference method is the finite difference method.
Select correct option:
TRUE
FALSE
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 73
sec(s)
Question # 6 of 10 ( Start time: 09:44:38 PM ) 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
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 26
sec(s)
Question # 6 of 10 ( Start time: 09:44:38 PM ) 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 Ans
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 69
sec(s)
Question # 7 of 10 ( Start time: 09:45:57 PM ) Total Marks: 1
A 3 x 3 identity matrix have three and different eigen values.
Select correct option:
TRUE
FALSE
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 6
sec(s)
Question # 7 of 10 ( Start time: 09:45:57 PM ) Total Marks: 1
A 3 x 3 identity matrix have three and different eigen values.
Select correct option:
TRUE
FALSE
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 33
sec(s)
Question # 8 of 10 ( Start time: 09:47:25 PM ) Total Marks: 1
The absolute value of a determinant (|detA|) is the product of the absolute values of the eigenvalues of matrix A
Select correct option:
TRUE
FALSE
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 68
sec(s)
Question # 9 of 10 ( Start time: 09:48:32 PM ) Total Marks: 1
Let A be an n ×n matrix. The number x is an eigenvalue of A if there exists a non-zero vector v such that _______.
Select correct option:
Av = xv
Ax = xv
Av + xv=0
Av = Ax
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 18
sec(s)
Question # 9 of 10 ( Start time: 09:48:32 PM ) Total Marks: 1
Let A be an n ×n matrix. The number x is an eigenvalue of A if there exists a non-zero vector v such that _______.
Select correct option:
Av = xv
Ax = xv
Av + xv=0
Av = Ax
http://quiz.vu.edu.pk/QuizQuestion.aspx?ver=bf207443-1fa9-415b-a850...
BC090200783 : Wafiullah
Quiz Start Time: 09:38 PM
Time Left 35
sec(s)
Question # 10 of 10 ( Start time: 09:50:06 PM ) Total Marks: 1
The Jacobi iteration converges, if A is strictly diagonally dominant.
Select correct option:
TRUE Ans
FALSE
BC090200044 : Naveed Abbas
Quiz Start Time: 10:01 PM
Time Left 53
sec(s)
Question # 1 of 10 ( Start time: 10:01:34 PM ) Total Marks: 1
Jacobi’s method is highly recommended for ………… matrix to compute all the Eigen values and the corresponding eigenvectors.
Select correct option:
real symmetric
non real symmetric
real un-symmetric
None of the given choices
BC090200044 : Naveed Abbas
Quiz Start Time: 10:01 PM
Time Left 81
sec(s)
Question # 2 of 10 ( Start time: 10:02:14 PM ) Total Marks: 1
By using determinants, we can easily check that the solution of the given system of linear equation ______ and it is ______.
Select correct option:
exits, unique
exists, consistent
trivial, unique
nontrivial, inconsistent
BC090200044 : Naveed Abbas
Quiz Start Time: 10:01 PM
Time Left 59
sec(s)
Question # 3 of 10 ( Start time: 10:02:33 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
BC090200044 : Naveed Abbas
Quiz Start Time: 10:01 PM
Time Left 66
sec(s)
Question # 4 of 10 ( Start time: 10:03:38 PM ) Total Marks: 1
A and its transpose matrix have _______ eigenvalues.
Select correct option:
same
different
BC090200044 : Naveed Abbas
Quiz Start Time: 10:01 PM
Time Left 83
sec(s)
Question # 5 of 10 ( Start time: 10:04:45 PM ) Total Marks: 1
The Jacobi iteration ______, if A is strictly diagonally dominant.
Select correct option:
converges
diverges
BC090200044 : Naveed Abbas
Quiz Start Time: 10:01 PM
Time Left 72
sec(s)
Question # 6 of 10 ( Start time: 10:05:40 PM ) Total Marks: 1
Differences methods are iterative methods.
Select correct option:
TRUE
FALSE
BC090200044 : Naveed Abbas
Quiz Start Time: 10:01 PM
Time Left 66
sec(s)
Question # 7 of 10 ( Start time: 10:07:21 PM ) Total Marks: 1
The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric positive definite matrices A.
Select correct option:
TRUE
FALSE
BC090200044 : Naveed Abbas
Quiz Start Time: 10:01 PM
Time Left 73
sec(s)
Question # 8 of 10 ( Start time: 10:08:22 PM ) Total Marks: 1
For differences methods we require the set of values.
Select correct option:
TRUE
FALSE
BC090200044 : Naveed Abbas
Quiz Start Time: 10:01 PM
Time Left 49
sec(s)
Question # 9 of 10 ( Start time: 10:09:09 PM ) Total Marks: 1
Numerical solution of 2/3 up to four decimal places is ________.
Select correct option:
0.667
0.6666
0.6667
0.66667
BC090200044 : Naveed Abbas
Quiz Start Time: 10:01 PM
Time Left 70
sec(s)
Question # 10 of 10 ( Start time: 10:10:07 PM ) Total Marks: 1
The dominant eigenvector of a matrix is an eigenvector corresponding to the eigenvalue of largest magnitude (for real numbers, smallest absolute value) of that matrix.
Select correct option:
TRUE
FALSE
BS100200863 : Muhammad Rehan
Quiz Start Time: 10:15 PM
Time Left 7
sec(s)
Question # 1 of 10 ( Start time: 10:15:19 PM ) Total Marks: 1
The Power method can be used only to find the eigenvalue of A that is largest in absolute value—we call this eigenvalue the dominant eigenvalue of A.
Select correct option:
TRUE
FALSE
BS100200863 : Muhammad Rehan
Quiz Start Time: 10:15 PM
Time Left 84
sec(s)
Question # 2 of 10 ( Start time: 10:16:50 PM ) Total Marks: 1
Numerical solution of 2/3 up to four decimal places is ________.
Select correct option:
0.667
0.6666
0.6667
0.66667
BS100200863 : Muhammad Rehan
Quiz Start Time: 10:15 PM
Time Left 80
sec(s)
Question # 3 of 10 ( Start time: 10:17:08 PM ) Total Marks: 1
By using determinants, we can easily check that the solution of the given system of linear equation exits and it is unique.
Select correct option:
TRUE
FALSE
BS100200863 : Muhammad Rehan
Quiz Start Time: 10:15 PM
Time Left 81
sec(s)
Question # 4 of 10 ( Start time: 10:17:27 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
BS100200863 : Muhammad Rehan
Quiz Start Time: 10:15 PM
Time Left 38
sec(s)
Question # 5 of 10 ( Start time: 10:17:46 PM ) Total Marks: 1
In Jacobi’s Method, the rate of convergence is quite slow compared with other methods.
Select correct option:
TRUE
FALSE
BS100200863 : Muhammad Rehan
Quiz Start Time: 10:15 PM
Time Left 84
sec(s)
Question # 6 of 10 ( Start time: 10:18:48 PM ) Total Marks: 1
The Jacobi iteration ______, if A is strictly diagonally dominant.
Select correct option:
converges
diverges
BS100200863 : Muhammad Rehan
Quiz Start Time: 10:15 PM
Time Left 84
sec(s)
Question # 7 of 10 ( Start time: 10:19:01 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
BS100200863 : Muhammad Rehan
Quiz Start Time: 10:15 PM
Time Left 53
sec(s)
Question # 8 of 10 ( Start time: 10:19:15 PM ) Total Marks: 1
Eigenvalues of a symmetric matrix are all _______ .
Select correct option:
real
complex
zero
positive
BS100200863 : Muhammad Rehan
Quiz Start Time: 10:15 PM
Time Left 66
sec(s)
Question # 9 of 10 ( Start time: 10:20:01 PM ) 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 Ans not confirem plz confirmed it
BS100200863 : Muhammad Rehan
Quiz Start Time: 10:15 PM
Time Left 67
sec(s)
Question # 10 of 10 ( Start time: 10:21:13 PM ) Total Marks: 1
Below are all the finite difference methods EXCEPT _________.
Select correct option:
jacobi’s method
newton's backward difference method
Stirlling formula Ans not sure
Forward difference method
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