MTH603 Mid Term Past and Current Solved Paper Discussion

zaasmi

@zaasmi said in MTH603 Mid Term Past and Current Solved Paper Discussion:

While using the Gauss - Seidel Method for finding the solution of the system of equation, the following system
3x+y+2=11
2x + 5y + z = 16 can be rewritten as
x+y+57=4

Correct Option: b
x=1/3(11 -y-z)
y =1/5(16-2x-z)
2=1/5(47-x-y)

zaasmi

If the product of two matrices is an identity matrices that is AB = 1, then which of the following is true?

A is inverse of B
A is singular
B is singular
A is transpose of B

zaasmi

@zaasmi said in MTH603 Mid Term Past and Current Solved Paper Discussion:

If the product of two matrices is an identity matrices that is AB = 1, then which of the following is true?

A is inverse of B
A is singular
B is singular
A is transpose of B

No answer in given option
multiplicative inverse and Properties

zaasmi

While using the relaxation method for finding the solution of the following system
8x1+3x2-2x3=5
4x1+7×2+2x3=9 with the initial vector(0, 0, 0), the residuals would be
3X1+5x2+9x3=2

R1 = 3, R2 = 7, R3 = 6
R1 = 2, R2 = 6, R3 = 3
R1 = 5, R2 = 9, R3 = 2
R1=-4, R2 = 8, R3 = 9

zaasmi

@zaasmi said in MTH603 Mid Term Past and Current Solved Paper Discussion:

While using the relaxation method for finding the solution of the following system
8x1+3x2-2x3=5
4x1+7×2+2x3=9 with the initial vector(0, 0, 0), the residuals would be
3X1+5x2+9x3=2

R1 = 3, R2 = 7, R3 = 6
R1 = 2, R2 = 6, R3 = 3
R1 = 5, R2 = 9, R3 = 2
R1=-4, R2 = 8, R3 = 9

R1 = 3, R2 = 7, R3 = 6

zaasmi

Gauss-Seidel method is also known as method of …

False position

Iterations

None of the given choices

Successive displacement

zaasmi

@zaasmi said in MTH603 Mid Term Past and Current Solved Paper Discussion:

Gauss-Seidel method is also known as method of …

False position

Iterations

None of the given choices

Successive displacement

Successive displacement

raza rajpoot

@zaasmi said in MTH603 Mid Term Past and Current Solved Paper Discussion:

Gauss-Seidel method is also known as method of …

Gauss–Seidel method is an improved form of Jacobi method, also known as the successive displacement method. This method is named after Carl Friedrich Gauss (Apr.

zaasmi

Sparse matrix is a matrix with …

Select the correct option:
Many elements are one
Some elements are one
Some elements are zero
Many elements are zero

zaasmi

@zaasmi said in MTH603 Mid Term Past and Current Solved Paper Discussion:

Sparse matrix is a matrix with …

Select the correct option:
Many elements are one
Some elements are one
Some elements are zero
Many elements are zero

Many elements are zero

sanwal mazhar

@zaasmi said in MTH603 Mid Term Past and Current Solved Paper Discussion:

Sparse matrix is a matrix with …

A sparse matrix is a special case of a matrix in which the number of zero elements is much higher than the number of non-zero elements. As a rule of thumb, if 2/3 of the total elements in a matrix are zeros, it can be called a sparse matrix.

zaasmi

While using Gaussian Elimination method, the following augmented matrix Screenshot 2024-09-11 at 12.59.12 PM.png

zaasmi

@zaasmi said in MTH603 Mid Term Past and Current Solved Paper Discussion:

While using Gaussian Elimination method, the following augmented matrix

Correct Answer: A

zaasmi

While using the relaxation method for finding the solution of the following system
5x1+12-3x3=5
x1 +5x2 +2x3 = 7 with the initial vector(0, 0, 0), the residuals would be
x1 +2×2+4x3=3

Select the correct option
R1 = 3, R2 = 2, R3 = 1
R1 = 2, R2 = 1, R3 = 1
R1 = 5, R2 = 7, R3 = 3
R1 = 1,R2 = 3, R3 = 2

zaasmi

@zaasmi said in MTH603 Mid Term Past and Current Solved Paper Discussion:

While using the relaxation method for finding the solution of the following system
5x1+12-3x3=5
x1 +5x2 +2x3 = 7 with the initial vector(0, 0, 0), the residuals would be
x1 +2×2+4x3=3

Select the correct option
R1 = 3, R2 = 2, R3 = 1
R1 = 2, R2 = 1, R3 = 1
R1 = 5, R2 = 7, R3 = 3
R1 = 1,R2 = 3, R3 = 2

R1 = 5, R2 = 7, R3 = 3

zaasmi

While solving by Gauss-Seidel method, which of the following is the first Iterative solution for the
system; x-2y =1, x+4y=4 ?
Select correct option:
(1, 0.75)
(0,0)
(1,0)
(0,1)

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

In Double integration, the interval [a, b] should be divided into [c, d) should be divided into --sub intervals of size k. --subintervals of size h and the interval

The (n + 1) th difference of a polynomial of degree n is...

Let P be any real number and h be the step size of any interval. Then the relation between h and P for the backward difference is given by

In integrating $\int_{0}^{\frac{2}{2}} \cos x d x$ by dividing the interval into four equal parts, width of the interval should be

In fourth order Runge-Kutta method K 4

In fourth order Runge-Kutta method k2

What is the Process of finding the values outside the interval (Xo,x,) called?

When we apply Simpson's 3/8 rule, the number of intervals n must be

Milne's P-C method is a multi step method where we assume that the solution to the given initial value problem is known at past --equally spaced points.

The truncation error in Adam's predictor formula is ....-times more than that in corrector formula

To apply Simpson's 3/8 rule, the number of intervals be

Which formula is useful in finding the interpolating polynomial?

Rate of change of any quantity with respect to another can be modeled by

Romberg's integration method is ------ than Trapezoidal and Simpson's rule.

In integrating f, e2* dx by dividing into eight equal parts, width of the interval should be......

To apply Simpson's 1/3 rule, valid number of intervals are?

Newton's divided difference interpolation formula is used when the values of the independent variable are

If there are (n+1) values of y corresponding to (n+1) values of x, then we can represent the function f(x) by a polynomial of degree

MTH603 Assignment 1 Solution and Discussion

MTH603 Mid Term Past and Current Solved Paper Discussion

File Sharing

0

3.0k

2.8k

8.2k