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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 value—we 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 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 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
Exact solution of 2/3 is not exists.
TRUE
FALSE
The Jacobi’s 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 _________.
jacobi’s 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
AbdulRauf thanks & keep it up
sarah thanks & keep it up
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