MATLAB Problems

Please read this before your start

*Use MATLAB to solve these problems.

*Submit your answers any time before 7:00AM Sunday June 7, 2009

*Here is a  quick start to MATLAB

*Let    w = ( last five digits of your ID number ) / 10000  (Example: ID=200612340  then  w=12340/10000=1.234)

*Be aware that each student has different answers.

*To submit    3.567 X 10^(-33)    type     3.567e-33    (round to 3 decimal digits)

*First solve all the 8 problems then enter all the 8 answers in the left page then click on submit button.

* Here is an example ( How to enter the numbers )

*After you click on Submit button, wait until you receive the confirmation page.
*practice before you submit ( ppt, pdf )

1)

 

Let E be the reduced-row echelon form of the matrix A where

 

 

Then  =  ??  

 

2)

Let      then   det( B ) = ????  

3)

Let   and    then    

4)

Let :   (how many negative eigenvalues)

 

 

Then the matrix  K  has   -------   negative eigenvalues.     

5)

Find the characteristic equation of the matrix  K   then compute:

     

6)

 

Let:

 

 

Determine whether  or not the matrix G is diagonalizable    

 

7)

 

Solve the IVP:

 

 

Then find the value the solution at x=1.   y(1)=????

 

8)

 

Solve the following linear system of differential equations:

 

 

Then find:    x(2) = ?????