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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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Can this function be simplified to use only quadratic, linear terms of M with given conditions?
Given the function
$$
E(M) = \sum_{i=1}^N \sum_{a=1}^K \left( M_{ia} \cdot \left\lVert\sum_{i=1}^N M_{ia}\cdot x_i\right\rVert_2^2 \right)
$$
$x$ is a given constant matrix, $x_i$ is a the $n_\text{th …