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Dot or Young Diagram in Wolfram Alpha or Mathematica ?

Hi All,

Can Wolfram Alpha or Mathematica do a dot (sometimes called a Young) diagram?

Basically, let C be the rational canonical form of a matrix. Find a matrix P such that C = P^(-1)AP.

For example,

It would be nice if it could show the reduction of (xA - I) to find the monic (if diagonalizable) polynomials.

Do such commands exist?

I found Ferrers diagram and Young Tableau, but I am not sure of these are somehow related.

Thanks for any insights.


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