advanced-linear-algebra
Conics, quadrics, and the principal-axis theorem
taught
A's own eigenvectors are always a quadratic surface's principal axes -- the real spectral theorem is exactly what makes an eigenbasis align a rotated conic or quadric back to standard position.
Taught in
-
Conics, quadrics, and the principal-axis theorem
Advanced Linear Algebra
Requires
- quadratic-forms-as-surfaces required
- the-real-spectral-theorem required
Required by
Local knowledge map
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.