Non symmetricity of matrix supposed to be.

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Consider A,B symmetric matrices (in practice they are 112x112).
I want to calculate C=A^-1(B)A^(-1) numerically.
I guess the most efficient way is: C = mrdivide(mldivide(A,B),A), is this correct?
Now theoretically C should be symmetric again, but is not what can be the issues? Is it a good or bad idea to calculate C as above and then afterwards "symmetrise" it by doing e.g. C=C./2+C'./2 or can this induce an error?

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