Condition a Gaussian on another. See Eqn. A.6 on page 200 of Rasmussen and Williams' book.
1 2  | 
y | 
 y  | 
.A | 
 Var(X)  | 
.B | 
 Var(Y)  | 
.C | 
 Cov(X, Y)  | 
mu.x | 
 Mean of x  | 
mu.y | 
 Mean of y  | 
U | 
 Cholesky decomposition of .B  | 
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