ml-recall

#density

2 questions from Linear Algebra, Clustering

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Question 1: Short answer

mediumAI-checkedLinear Algebra

$\mathbf{x}$ is uniformly distributed on the unit square $[0, 1]^2$ (density 1 there), and $\mathbf{y} = A\mathbf{x}$ with $A = \begin{pmatrix} 2 & 1 \\ 1 & 3 \end{pmatrix}$ . What is the density $p_{\mathbf{y}}(\mathbf{y})$ at a point inside the image of the square?

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