how to Obtain the algebraic and geometric multiplicity of each eigenvalue of any square matrix

Matlab code

Answer 1

[Sindar]

eig(A) gives you the eigenvalues. You can count occurrences for algebraic multiplicity. Geometric seems more complicated, but I found this guide by googling your title: https://people.math.carleton.ca/~kcheung/math/notes/MATH1107/wk10/10_algebraic_and_geometric_multiplicities.html

[Sindar]

And I want you to demonstrate some effort so I don't feel like I'm doing your homework for you. If you try to write up something based on my suggestion and it doesn't work, we might be able to help if you give us your code

[John D'Errico]

+1. The perfect response to a blanket request for code.

[Matt J]

I want matlab code to show me how. ... or example

As with all Matlab commands, you will find that the documentation for the eig command has numerous examples,

https://www.mathworks.com/help/matlab/ref/eig.html#btgapg5-5