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Calculating Eigen Vectors 

A special TI-84 Plus BASIC program can determine the eigenvectors of a 2x2 matrix.
 

After calculating the eigenvalues of a matrix using the EIGENVAL.8xp program, the eigenvectors can be determined with a specialized BASIC program. This program utilizes the eigenvalue results from EIGENVAL.8xp. Currently, this method is limited to 2x2 matrices, but we are developing a program to calculate eigenvectors for 3x3 matrices."

With some examples, we will show the working of the process. Assume we want to calculate the eigen values and eigen vectors of the following 2x2 matrix:  

matrix 2x2

The first step is to calculate the eigen values with the program EiIGENVAL.8xp. See the figures below which give a short overview of the steps and follow the method explained on the page:

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first step for calculating eigenvectors 2x2matrixserie1l.JPG
Step 2 : determing the eigen values of a 2x2 matrix
eigenvalues are determined and now eifgenvectors can be calculated
matrixserie6.JPG
eigen vectors 2x2 matrix calculated with Ti-84

With 2 Basic programs and the app PlySmlt2 the eigenvalues and eigen vectors can be calculated in some minutes. On youtube the eigenvectors of this matrix are determined by hand in about 14 minutes.

 

 

If the program gives an error (divide by 0) then you have one of the special cases which are described on

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Download the program EIGV22V2.8xp​

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