How to calculate conditional density

[Fred_a]

Hi,
If we have a bivariate Gaussian dist as N(m, a). m=mean and a=variance. how can we find f(x|y) in terms of m and a?

Thanks

 

[BGM]

For the result,

http://en.wikipedia.org/wiki/Multivariate_normal_distribution#Bivariate_case

For the derivation, you just need to divide the joint density by the "marginal" density of the random variable (vector) you conditional on.