Engineering Computing

Symbolic and Numerical Computing for Engineers

Your project#2 can be found at the url

http://www.eng.ysu.edu/~jalam/engr6924summer08/projects/project2.doc

Have a look at it.

The project report is due on monday 12 midnight.

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Dr Alam,

Attached please find my project # 2. The 3rd problem (assignment 14, problem 5) presented several challenges for me (eigenvalues by jacobi seemed most straight-forward):

1. With the "expanding the determinant process", the command lines starting from eq1: down (see below, from session 15 handout) I was a bit lost as far as the syntax and conceptually as far as the process:

kill(all);
load(eigen);
a:matrix([3,-1.5],[-.75,.75]);
B:a-lamda*ident(2);
C:expand(determinant(B));
x1:solve(C,lamda),numer;
D:a-rhs(x1[2]).ident(2);
e:[y1,y2];
eq:D.e;
eq1:eq[1][1]=0;
eq2:eq[2][1]=0;
eq3:expand(eq1*(1/1.5));

2. The syntax/steps involved with eigenvalues, eigenvectors, and uniteigenvectors in the same area of the handout - I did not quite follow the syntax/process.

3. The enormous output lines from invoking the solve commands - how do we simplify them?

Thank you
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Bill

Let me go through the project once I get another one and then I will give you my comments.
There are some cases when the algorithm from Maxima fails so if you did not get an answer that is because Maxima tried but could not solve it.

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Bill

You get the long output because the symbolic functions from Maxima failed to evaluate the eigenvalues and eigenvector of a 4x4 matrix.

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Bill

Please see your grade within the uploaded file.

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The uploaded file
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Dr. Alam,

Here is my Project#2
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Snezana

please see your grade within uploaded file.
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