advanced-linear-algebra
Quadratic forms as surfaces
taught
Reading $x^{\mathsf T}Ax=c$ as a genuine surface in space -- a bowl, a saddle, a cylinder -- rather than only an algebraic expression, sets up every geometric result the rest of this chapter proves.
Taught in
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Quadratic forms as surfaces
Advanced Linear Algebra
Requires
- quadratic-forms-and-polarization 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.