Solving equation/matrices by Doolitle Method

[ms_r]

Hi guys
I just received my assignment about solving equation/matrices by Doolitle Method by using Matlab or mathcad. anyone expert in this software can explain to me how do i start first step?
I cannot understand even i searching on the net.
Tq

 

[CFDFEAGURU]

For MathCad try here,

http://www.ptc.com/appserver/mkt/products/resource/list-dtav.jsp?&rccg=888&nav=5283&sec=&top=0&section=mathcad_resource_center

Thanks
Matt

 

[oswaler]

Hello,

The Doolitle method is a numerical method used to solve systems of linear equations or matrices. It is a variation of the LU decomposition method, where a matrix is decomposed into a lower triangular matrix and an upper triangular matrix.

To start with the Doolitle method, you will need to have a basic understanding of matrices and linear equations. Then, you can follow these steps:

1. Write down the system of linear equations or the matrix equation that you want to solve. For example, if you have the system of equations:

2x + y + z = 6
x + 3y + 2z = 11
3x + 2y + 4z = 15

You can rewrite it in matrix form as:
[2 1 1; 1 3 2; 3 2 4] * [x; y; z] = [6; 11; 15]

2. Create a matrix A and a vector b from the coefficients of the equations. In the above example, A = [2 1 1; 1 3 2; 3 2 4] and b = [6; 11; 15].

3. Use the Doolitle method to decompose matrix A into a lower triangular matrix L and an upper triangular matrix U. This can be done by performing Gaussian elimination on A.

4. Solve for the unknown vector x by using the formula x = U^-1 * (L^-1 * b). This can be done easily in Matlab or Mathcad by using the backslash operator (\).

5. Once you have the values of x, y, and z, you can check if they satisfy the original equations. If they do, then you have successfully solved the system of equations using the Doolitle method.

I hope this helps you get started on your assignment. Good luck!