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* updating DIRECTORY.md * Fix mypy errors in lu_decomposition.py * Replace for-loops with comprehensions * Add explanation of LU decomposition and extra doctests Add an explanation of LU decomposition with conditions for when an LU decomposition exists Add extra doctests to handle each of the possible conditions for when a decomposition exists/doesn't exist * updating DIRECTORY.md * updating DIRECTORY.md --------- Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>