mth501 assignment Question and solutions

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					                         Assignment No. 6
                        MTH 501 (Spring 2008)
                                                            Maximum Marks: 20
                                                    Due Date:- Tue: 28th July 2008

DON’T MISS THESE Important instructions:
    To solve this assignment, you should have good command over
     Lecture 33 to 37.
    Upload assignments properly through LMS, (No Assignment will be
     accepted through email).
    Write your ID on the top of your solution file.
    All students are directed to use the font and style of text as is used in
     this document.
    Don’t use colorful back grounds in your solution files.
    Use Math Type or Equation Editor etc for mathematical symbols.
    This is not a group assignment, it is an individual assignment so be
     careful and avoid copying others’ work. If some assignment is found
     to be copy of some other, both will be awarded ZERO MARKS. It
     also suggests you to keep your assignment safe from others. No
     excuse will be accepted by anyone if found to be copying or letting
     others copy.

   Question # 1:
Use power method to find the eigenvalue and eigenvector for the given matrix starting
with x0 .(Do all necessary steps)
                   2       8     10         1
             A   8       3     4  , x  1
                                          o    
                           4      7        1
                                               
Perform 7 iterations without using Matlab.
   Question # 2:

Construct the general solution of x  Ax involving complex eigenfunctions and then
                                             3 1
obtain the general real solution. Where A       
                                             2 1

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