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infinity problem in mathematica

• To: mathgroup at smc.vnet.net
• Subject: [mg74103] infinity problem in mathematica
• From: traz <t_raz at yahoo.com>
• Date: Sat, 10 Mar 2007 06:51:13 -0500 (EST)

I'm trying to solve a system of equations in the form of a large matrix product in mathematica. The problem is Mathematica keeps running and never reaches a solution. One way to figure out the problem in my matrix is by  setting certain symbols to infinity and zero so I can see if the solution reduces to an answer that I expect. So how can I set certain symbols to be infinitely large and solve the system. I have a much simpler example below:

Solution = Solve[{{{-k1, k2 + k3}, {k1, -k2 - k3}}.{{x}, {y}} == 0, x + y == 1}, {x, y}][[1]]


rate = k3 * y /. Solution


I can always try to find the limit when k1 goes to infinity and k2 goes to zero so the rate solution reduces to k3, but I am not getting a solution for the matrix product (one that is much bigger and different from the example here). Trying to set k1 to infinity inside the matrix will not give me a solution. I hope someone can help.