Procedure

1. Enter Matrix Size

   • Specify the size of the matrix (e.g., 2 for a 2×2 matrix, 3 for a 3×3 matrix).

2. Generate the Matrix

   • Click on the Generate Matrix button.
   • Input sliders will appear according to the selected matrix size.

3. Set Matrix Elements

   • Adjust the sliders to assign numerical values to each element of the matrix.
   • Ensure that all entries are correctly set as per the experiment requirement.

4. Run the Computation

   • Click on the Simulate button to perform eigenvalue and eigenvector calculations.

5. Observe Numerical Output

   • The computed eigenvalues will be displayed in the result section.
   • The corresponding eigenvectors will also be shown below the eigenvalues.

6. Analyze the Result

   • Verify the relationship: Av = λv for each eigenvalue–eigenvector pair.
   • Compare the results for different matrix values to observe changes in scaling and direction.

7. Repeat for Other Matrices (Optional)

   • Change matrix size or elements to explore how eigenvalues and eigenvectors vary for different matrices.