Mth603 Quiz 1 2023 -Solved with explanation - correct solution -mth603quiz12023

001Sparse matrices arise within computing the numerical answer of

·         Select the correct option

1.       Ordinary differential equations

2.      Partial differential equations

002While using Jacobi method for the matrix

tho value of there can be round as

003While using Gaussian- Jorden method, we have the following augmented matrix then the value of

 

004 in means, a system is reduced to an correspondent diagonal form using straightforward transformation.

Select the correct option

1.      Gaussian elimination

2.    -Gauss-Seidel

3.      Jacob c

005If the determinant of a matrix A is not identical to zero then the arrangement of equations will include

Select the correct option

1.      infinite many solutions

2.      many solutions

3.    a unique solution

006Let [A] be a 3 x 3 real symmetric matriz with lazal be the numerically

u sin g Jacobi' a method the value of 0 can be foundby

 

 

007Gauss elimination and Gauss-Jordan methods are popular among many methods for finding the ......of a matrix.

·         select the correct option

·         Transpose

·         None of the given choices

·       Inverse

 

008While using Relaxation method, which of the following is increment 'du corresponding to the largest Residual for ist iteration on the system;

2x+3y = 1, 3x +2y = - 4 ?

Select the correct option

·       4

·         2

·         3

·         -2

009While using Gaussian Elimination method, the following augmented matrix will reduce in identity matrix by performing

Select the correct option

 

0010The linear equation: 0x+0y =2 has ---*-•-- solution/solutions.

Select the correct option

·        No solution

·         Finite many

·         Infinite many

 

0011Will be in normal form as

 

 

0012The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric __ _ _ definite matrices

·       Positive

In Gauss-Jacobi's method, the matching elements of replace those of as shortly as they happen to available.

Select the correct option

1.  True

0013An augmented matrix may also be used to find the inverse of a matrix by combining it with the .... matrix.

2.    Select the correct option

None of the given choices

3.    Inverse

4.    PAILIDiOT

5.    Square

6. Identity

0014 Let A be an n n matrix. The numeral x is an eigenvalue of A if readily available exist a non-zero vector v such that Av = xV

Select the correct option

1. TRUE

0015While solve a system of linear equations, which of the following move on the way to is economical used for the computer recollection?

Select the correct option

·      Direct

·       Analytical

·       Iterative

0016Gauss-Seidel method is similar to a.

select the correct option

·       Iteration's method

·       Jacobi's method

0017Which of the following is a reason due to which the LU decomposition of the system of linear equations; x+y = 1, x+y =2 is not possible?

select the correct option

2.   All values of i's and u's can't be evaluated

3. Determinant of coefficient matrix is zero

4.   Associated coefficient matrix is singular

5.   All are equivalent

0018Jacobi's Method is a/an

select the correct option

1.   Direct method

2. Iterative method

0019Relaxation Method is a/an ..

Select the correct option

·      Iterative method

0020For the systom: 2x+3y a 4, 3x +Zy -solution is (0,0) and 'did = 2 is the increment in Y then

·      (2,0)

·       (0,3)

·       C

·       (0,2)

0021The determinant of a slanting matrix is the creation of the oblique elements.

Select the correct option

·      TRUE

·       FALSE