Aim of the Applet
Get the most representative data of a square matrix.
Input data
You can create a random matrix by clicking Random Matrix
The button Analyze will display a window with the data in the matrix.
The user may specify the order of the matrix, as well as the number
de digit of the cells, from the block "Analysis".
Output data
The applet will submit the following information from the original matrix:
Eigenvalues.
Norms: one, two, Frobenius and infinite.
Determinant, rank and condition with norm two.
If is symmetric and positive definite.
First steps
1 .- Write symmetric matrix. Verify that its eigenvalues are real.
Modify its values to be positive definite.
2 .- Build a matrix of order 3 whose eigenvalues are not all real and notes that two of them are conjugate.
Changing some coefficients examines how the eigenvalues change,
do you have any connection with the change of the condition number of the matrix.?
