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Matrix with number of rows / columns not fixed

• To: mathgroup at smc.vnet.net
• Subject: [mg112240] Matrix with number of rows / columns not fixed
• From: Hayley <hayley0110 at gmail.com>
• Date: Mon, 6 Sep 2010 04:15:10 -0400 (EDT)

I'm new to Mathematica and would like to know if I can specify a
matrix where the number of rows / columns is not fixed.

As a simple example, how can I input a diagonal matrix with elements
(s1, s2, ..., sL) where I don't specify what L is?

I'd like to multiply together a few such matrixes and find the inverse
of the product, and would ideally like Mathematica to give me the
answer in terms of summations from 1 to L.

Hope this sounds possible...!