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This document summarizes key topics from a lesson on quadratic forms, including: 1) It defines a quadratic form in two variables as a function of the form f(x,y) = ax^2 + 2bxy + cy^2. 2) It classifies quadratic forms as positive definite, negative definite, or indefinite based on the sign of f(x,y) for all non-zero (x,y) points. 3) It gives examples of quadratic forms and classifies them, such as f(x,y) = x^2 + y^2 being positive definite.










































