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### Puzzled in Parametric Linear Regression Matrix Solution

If Ynx1 = Xnxpθpx1, then θ = (XTX)-1XTY. But this doesn't work IRL (e.g. X = [1,2,3]T, Y = [2,4,5]T). I cannot think of why (it should be obvious though). Any help on this part? Thank you!
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### Mutual Information between $v_1$ and $v_2$ coming from the same Inverse-Wishart distribution?

Say that $\left(\begin{matrix} v_1 & c\\ c & v_2 \end{matrix}\right)$ is a bivariate covariance matrix that comes from an Inverse-Wishart distribution $W^{-1}(\Psi, \nu)$. Then what is the ...
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