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Lecture 13: Global Illumination and Path Tracing (33)

If you broaden your concept of a vector, you can consider functions to be vectors and then you can write a matrix representation for linear operators like H and D given at the bottom. It just boils down to determining a basis for your domain, applying the operator to each element in said basis, then making a matrix where the ith column is equal to the operator applied to the ith element in the basis of the domain. For a much more rigorous and clear explanations of matrix representations, check out this video from the author of the Math 110 textbook:

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