Problem with linear independence

*To*: mathgroup at smc.vnet.net*Subject*: [mg44594] Problem with linear independence*From*: Hagen at Starschiffchen.de (Hagen Moebius)*Date*: Mon, 17 Nov 2003 03:38:26 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

Hi all! I got a little problem and here it goes: In[1]:= a m + b n == c n This is what I'd like to solve for a, b and c. Of course this has multiple solutions and furthermore no actual values for a, b or c. However if I assume n and m to be {1, 0} and {0, 1} respectively I get exactly the result I want: {a -> 0, b -> c}. So far so good. The Problem now is: In[2]:= a m + b n == c n + d o I want o to be linear independant from m and n. BUT not because I move one dimension up but because m,n and o are taken from the whole 2D space and thus no pair of them can be expected to be linear dependant. How do I tell this Mathematica??? How do I Assuming["m, n, o are linear independant", Solve[...]]??? Please help me :) ... Hagen!