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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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