Mutual Information from this Gaussian Distribution

In summary, mutual information is a measure of the shared information between two random variables. It is calculated from the joint probability distribution and can be negative, indicating a weaker relationship between the variables. It is commonly used in data analysis for feature selection, clustering, and dimensionality reduction.
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Arman777
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Homework Statement
Calculating Mutual Information from Gaussian
Relevant Equations
Statistics Equations
Let us suppose we are given a Gaussian Distribution in the form of

$$p(x,y) \propto exp(-\frac{1}{2}x^2 - \frac{1}{2}by^2 - cxy)$$ What are the equations that I need to use to obtain Mutual Information ?
 
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