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Comparing Corresponding Columns of Two Matrices

  • To: mathgroup at smc.vnet.net
  • Subject: [mg97496] Comparing Corresponding Columns of Two Matrices
  • From: Gregory Lypny <gregory.lypny at videotron.ca>
  • Date: Sat, 14 Mar 2009 05:39:39 -0500 (EST)

Hello everyone,

I'm trying to develop a modest skill in mapping functions and I've  
been working on this problem.

Suppose I have two 100 x 4 matrices, X and Y, and I want to see  
whether each value in a column of X is bigger than each value in the  
corresponding column of Y.  In other words, compare column 1 of X with  
column 1 of Y, column 2 of X with column 2 of Y, and so on.

It's easy to generate a 100 x 4 table of Booleans using Table as

	Table[Boole[X[[i ,  j]] > Y[[i, j]]], {i, 100}, {j, 4}]

But what about without Table?  I am able to do it for the comparison  
of any one column as

	Boole[#[[1]] > #[[2]]] & /@ Transpose[{X[[All, ]], Y[[All, 1]]}]

but I'm not sure how to extend this to other columns.  Any tip would  
be much appreciated.

Regards,

	Gregory


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