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# Quiz No.2 MTH603

Mth 603 today quizz
in the context of Jacobi’s method for finding Eigen values and Eigen vectors of a real symmetric matrix of order 2*2, if |-5| be its largest off-diagonal and its two equal diagonal values are ‘3’ then which of the following will be its corresponding argument value ‘theta’ of Orthogonal Matrix?
Pi/3
Pi/6
Pi/2
Pi/4

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

If n x n matrices A and B are similar, then they have the _____ eigenvalues (with the same multiplicities
same
different

Eigenvectors of a symmetric matrix are orthogonal, but only for distinct eigenvalues.

f

Differences methods are iterative methods.

f

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

Power method is applicable if the eigen values are real and distinct.

f

The dominant or principal eigenvector of a matrix is an eigenvector corresponding to the eigenvalue of largest magnitude (for real numbers, largest absolute value) of that matrix.
t
f

If x is an eigen value corresponding to eigen value of V of a matrix A. If a is any constant, then x – a is an eigen value corresponding to eigen vector V is an of the matrix A - a I.

f

In Jacobi’s method after finding D1, the sum of the diagonal elements of D1 should be ………… to the sum of the diagonal elements of the original matrix A
Greater than
less then
same
different

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### Replies to This Discussion

Mth 603 today quizz
in the context of Jacobi’s method for finding Eigen values and Eigen vectors of a real symmetric matrix of order 2*2, if |-5| be its largest off-diagonal and its two equal diagonal values are ‘3’ then which of the following will be its corresponding argument value ‘theta’ of Orthogonal Matrix?
Pi/3
Pi/6
Pi/2
Pi/4

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

If n x n matrices A and B are similar, then they have the _____ eigenvalues (with the same multiplicities
same
different

Eigenvectors of a symmetric matrix are orthogonal, but only for distinct eigenvalues.

f

Differences methods are iterative methods.

f

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

Power method is applicable if the eigen values are real and distinct.

f

The dominant or principal eigenvector of a matrix is an eigenvector corresponding to the eigenvalue of largest magnitude (for real numbers, largest absolute value) of that matrix.
t
f

If x is an eigen value corresponding to eigen value of V of a matrix A. If a is any constant, then x – a is an eigen value corresponding to eigen vector V is an of the matrix A - a I.

f

In Jacobi’s method after finding D1, the sum of the diagonal elements of D1 should be ………… to the sum of the diagonal elements of the original matrix A
Greater than
less then
same
different

solution

Attachments:

Question # 1 of 10 ( Start time: 09:20:13 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

Question # 2 of 10 ( Start time: 09:20:42 PM )     Total Marks: 1
For a function; y=f(x), if y0, y1 and y2 are 2,3 and 5

respectively then which of the following will be 2nd order

Backward difference at y2 = 5 ?
Select correct option:
-1
-2
1
2

Question # 3 of 10 ( Start time: 09:21:12 PM )     Total Marks: 1
How many Eigen vectors will exist corresponding to the function;

Exp(ax) = e^ax, when the matrix operator is of differentiation?
Select correct option:
Infinite many
Unique
Finite Multiple
None

Question # 4 of 10 ( Start time: 09:21:33 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

Question # 5 of 10 ( Start time: 09:22:10 PM )     Total Marks: 1
Power method is applicable if the eigen values are real and

distinct.
Select correct option:
TRUE
FALSE

Question # 6 of 10 ( Start time: 09:22:28 PM )     Total Marks: 1
The Jacobi’s method is a method of solving a matrix equation on a

matrix that has ____ zeros along its main diagonal.
Select correct option:
no
atleast one

Question # 7 of 10 ( Start time: 09:22:43 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 main diagonal.
Select correct option:
TRUE
FALSE

Question # 8 of 10 ( Start time: 09:22:58 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

Question # 9 of 10 ( Start time: 09:23:09 PM )     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
x^3-1
x^3+1

Question # 10 of 10 ( Start time: 09:23:57 PM )     Total

Marks: 1
The dominant or principal eigenvector of a matrix is an

eigenvector corresponding to the eigenvalue of largest magnitude

(for real numbers, largest absolute value) of that matrix.
Select correct option:
TRUE
FALSE

SOlve kar don agar kisi ne quiz dyna hai to !!!!!!! heheheheh

AYAShi Karo hehehehehe

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