dy/dx - = 1 - y,y(0) = 0 is an example of

[zaasmi]

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

Diagonal

Off-diagonal

Row

Column

[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]

[zaasmi]

[zaasmi]

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

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.

[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 ?

[cyberian]

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

Stable

[cyberian]

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

[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]

In Gauss-Seidel method, each equation of the system is solved for the unknown with -------- coefficient, in terms of remaining unknowns.

[cyberian]

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

[cyberian]

While using Relaxation method, which of the following is the Residuals for 1st iteration on the system; 2x 3y = 1, 3x 2y =4 ?
MTH603
(2,3)

[cyberian]

If the determinant of a matrix A is not equal to zero then the system of equations will have……….

[cyberian]

@cyberian said in MTH603 Quiz 2 Solution and Discussion:

If the determinant of a matrix A is not equal to zero then the system of equations will have……….

A nxn homogeneous system of linear equations has a unique solution (the trivial solution) if and only if its determinant is non-zero. If this determinant is zero, then the system has an infinite number of solutions.