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How to take the $\log$ of $e$ when taken to the power of a matrix?

This seems to be a correct solution, no need for a radial basis function: $$\log p(x_1,x_2|t=C_1)+\log P(C_1)= \log(\frac{2^{\frac{1}{2}}}{2\pi}e^{-\frac{1}{2}\{(x_1-1)^2+2(x_2-2)^2\}})+\log(\frac{1}{...
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