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Clarify SVD intuition and eigenvalue connection#3

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ncylich wants to merge 2 commits intoHenryNdubuaku:mainfrom
ncylich:svd-in-depth
Open

Clarify SVD intuition and eigenvalue connection#3
ncylich wants to merge 2 commits intoHenryNdubuaku:mainfrom
ncylich:svd-in-depth

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@ncylich ncylich commented Feb 26, 2026 •
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Summary

  • Adds a bullet explaining why $A^TA$ appears in SVD: it maps input space back to itself, so its eigenvectors reveal which directions $A$ stretches most
  • Adds a concise one-liner on how to compute SVD from the eigendecomposition of $A^TA$
  • Adds a sub-bullet linking singular values to eigenvalues: $\sigma_i = \sqrt{\lambda_i}$

@ncylich
Convert ```math blocks to $$ for Obsidian compatibility
9c3de6a 
Replace all ```math fenced code blocks with $$...$$ display math
across 12 files. This makes equations render correctly in Obsidian
while remaining compatible with GitHub. Also updates the README
contribution guidelines to reflect the new convention.
@ncylich
intuitive SVD explanation
f80a6e9
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@ncylich