MTH603 Quiz 2 Solution and Discussion

[cyberian]

If a system of equations has a property that each of the equation possesses one large coefficient and the larger coefficients in the equations correspond to different unknowns in different equations, then which of the following iterative method id preferred to apply?
MTH603
Gauss-Seidel method

[cyberian]

Under iterative methods, the initial approximate solution is assumed to be…………. MTH603
Known

[cyberian]

When the condition of diagonal dominance becomes true in Jacobi’s Method.Then its means that the method is
……………. MTH603

Stable

[cyberian]

While using Relaxation method, which of the following is the largest Residual for 1st iteration on the system;
2x+3y = 1, 3x +2y = - 4 ?

[zaasmi]

Which of the following rearrangement make strictly diagonal dominant, the system of linear equations; x-3y+z= –2, –6x+4y+11z=1, 5x–2y–2z=9?

5x–2y–2z=9, x–3y+z= –2, –6x+4y+11z=1

–6x+4y+11z=1, x–3y+z= –2, 5x–2y–2z=9

5x–2y–2z=9, –6x+4y+11z=1, x–3y+z= –2

No need to rearrange as system is already in diagonal dominant form.

[zaasmi]

@zaasmi said in MTH603 Quiz 2 Solution and Discussion:

Any solution of the linear equation 2x + 0y + 9 = 0 in two variables is of the form

(a) The given linear equation is
2x + 0y + 9 = 0
⇒ 2x + 9 = 0
⇒ 2x = -9
⇒ x= - 9/2 and y can be any real number.
Hence, (-9/2 , m) is the required form of solution of the given linear equation.

[zaasmi]

Any solution of the linear equation 2x + 0y + 9 = 0 in two variables is of the form

[zaasmi]

[zaasmi]

[zaasmi]

Which 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?

[zaasmi]

In Jacobi’s Method, We assume that the …………elements does not vanish.

Diagonal

Off-diagonal

Row

Column

[zaasmi]

@zaasmi said in MTH603 Quiz 2 Solution and Discussion:

While solving a system of linear equations, which of the following approach is economical for the computer memory?
Direct
Iterative (Page 69)
Analytical
Graphical

[zaasmi]

While solving a system of linear equations, which of the following approach is economical for the computer memory?
Direct
Iterative (Page 69)
Analytical
Graphical

[zaasmi]

Back substitution procedure is used in …………….

Gaussian Elimination Method
Jacobi’s method
Gauss-Seidel method
None of the given choices

More Quiz

[zaasmi]

@zaasmi said in MTH603 Quiz 2 Solution and Discussion:

While solving a system of linear equations by Gauss Jordon Method, after all the elementary row operations if there lefts also zeros on the main diagonal then which of the is true about the system?

System may have unique solutions
System has no solution
System may have multiple numbers of finite solutions
System may have infinite many solutions

[zaasmi]

While solving a system of linear equations by Gauss Jordon Method, after all the elementary row operations if there lefts also zeros on the main diagonal then which of the is true about the system?