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Replies to This Discussion

My Today paper at 9:30am

It was same as it is shared in past posts.

MCQ's mostly from first 10 lectures.

Subjective:

1. Define Orthogonal Matrix

2. Write the formula of p in newton backward difference.

3. A matrix was given and we have to convert it into diagonal matrix.

4. A table was given and we have to Find the value of p?

5. A table was given to solve using Jacobsi method up-to first iteration.

6. A table was given and we have to construct a table for Newton's forward difference formula.

Best of luck to all  

past papers plz???

All mcq’s were easy and from book and so easy.

Subjective part.

Q#1: Define extrapolation: 2 marks

Q#2: find the Eigen value and next eigenvector (7, 14, 21), ye vector form main tha. 2 marks

Q#3: use Guass-Siedal to find values in next iteration 3mrks

X= 1/28[32-4y+z]
Y = 1/17[35-2x-4z]
Z = 1/10[24-x-3y]
X0y0=z0=0

 

Q#4: Define shift operator..? 3 marks

Q#5: Values was given and i have to construct table for values for backward method.5 marks

 

Q#6: A matrix was given, and I have to calculate Eigen value and eigen vector up to 2 iterations. 5 marks

mcq were from book not from past papers subjective q was 90% from 14 to 22 even 3 question was from tables ,

1. Define Orthogonal Matrix

2. A table was given and we have to Find the value of p?

3. A table was given the value of x and f(x)and we have to find the F15 .

4. A  backward method table was given  and solved and the value of x and y)are solved  we just have  find the f(5.5).

5. one 3x3 martix was given and write this in to the diagonal form.

6. One q from Guass-Siedal to find values of two iteration this was in equation form not just like the above q#3 is given in Irha princess discussion .

for understand the concept of tables plz listen the video lectures 18 to 22 

for mcqs read the full 22 lectures.

Salaam irha i hoped ur paperz are gooing good my paper of mth603 will be on sunday 28 , kindly send me all mcqs past papers of this subj. plzz my id is azmat.hayat@uettaxila.edu.pk

Normalize the vector

And find the eigen value and the corresponding eigenvector

 

Solve:

 

 

 

Define Differential operator.

Ans:

Differential operator is a term of backward difference operator will be used. Consider a function of a single variable y=f(x) is a function if the function is known and simple we can easily obtain its derivative. And can evaluate its definite integral, however if we do not know the function as such all function is complicated we use different operator or integration of the function.

 

 

Find the next approximate value using Gauss-Seidal iteration method

Start with an initial approximation

 

 

Construct backward difference table from the following table

0

3

6

2

4

7

X1

0

-4

-11

 

 

 

Find the dominant eigenvalue and the corresponding eigenvector of the matrix

                                                                  

by Power Method with vector V(0)=(1,1,1)T as the initial vector.

(Note: Answer is required after two  iteration)

 

 

 

For the following table of values, estimate f(5.5)

x

y

3y

4y

5y

1

1

 

 

 

 

 

 

 

7

 

 

 

 

2

8

 

12

 

 

 

 

 

19

 

6

 

 

3

27

 

18

 

0

 

 

 

37

 

6

 

     0

4

64

 

24

 

          0

 

 

 

61

 

6

 

 

5

125

 

30

 

         

 

 

 

91

 

         

 

 

6

216

 

      

 

 

 

was it ur paper

yes bht burrrra hoaaaaaaaaa 

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