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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 upto 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
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 GuassSiedal to find values in next iteration 3mrks
X= 1/28[324y+z]
Y = 1/17[352x4z]
Z = 1/10[24x3y]
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 GuassSiedal 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
Reply by مَلیکا ایمان on January 13, 2015 at 2:46pm
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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 GaussSeidal 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 
^{3}y 
^{4}y 
^{5}y 

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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