# Question about a matrix of vector element ratios

1. Jun 19, 2012

### enfield

if I have square matrix A whose decimal elements $$a_{i,j} = \frac{v_i}{v_j}$$ how do I find (or approximate) the vector that would produce the matrix elements. what's a good way to do that?

i guess you can scale the vector however you want and it'll still produce the same matrix..

thanks.

2. Jun 20, 2012

### haruspex

Consider what summing the matrix elements over i produces.

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