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I have a matrix $A$ ($n \times n$) defined as follows:

$$A = \{ 0 \text{ if } i

This is an upper triangular matrix, and I want to solve a system $Ax =b$ -- thus in a sense invert $A$.

I was wondering if a general inverse exists for this problem.

Any help appreciated, thanks in advance..

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    So what you mean is that the $(i,j)$ entry is $\dbinom i j$?2012-11-12
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    @MichaelHardy \choose(j,i) prob^{i} *(1-prob)^{j-i}2012-11-12
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    You're using computer code instead of mathematical notation. You can write $\dbinom j i p^i (1-p)^{j-i}$.2012-11-12

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