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advanced-linear-algebra

Rank, numerical rank, and the condition number

taught

Numerical rank counts singular values above a noise threshold, not just nonzero ones -- and the condition number sigma_1/sigma_r measures exactly how sensitive solving Ax=b is to small errors in b.

Required by

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Local knowledge map

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Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.