Question: Solving a system in a matrix

Hi,

I'm trying to solve a system of equations in a matrix. The matrix is of the form <(1/5)*sqrt(6)*c[3, 1]+(1/7)*sqrt(6)*c[3, 3],0,(2/7)*c[3, 3]*c[3, 1]+(2/9)*c[3, 3]^2>, which I want to equate to <0,0,1> to simultaneously find numerical values for c[3,1] and c[3,3]. I then need to take these values and imput them into a bigger matrix and repeat; I think I can do that but I'm caught up on this part. I've tried various commands from linalg, LinearAlgebra and Student[LinearAlgebra], with very little success.

Any help would be very much appreciated.

Many thanks in advance.

Kai

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