Dot or Young Diagram in Wolfram Alpha or Mathematica ?

*To*: mathgroup at smc.vnet.net*Subject*: [mg131299] Dot or Young Diagram in Wolfram Alpha or Mathematica ?*From*: amzoti <amzoti at gmail.com>*Date*: Tue, 25 Jun 2013 21:13:48 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-outx@smc.vnet.net*Delivered-to*: mathgroup-newsendx@smc.vnet.net

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, http://math.stackexchange.com/questions/428811/dot-diagram-aka-young-diagram-method-for-finding-a-rational-cannonical-basis 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. Regards