Quadratic Forms, Conic Sections, Positive Definite, Examples - Linear Algebra

This video explains quadratic forms, including definition, how to identify and classify the rotated conic sections like ellipses and parabolas using the positive definiteness property of the matrix form of the central conic equations, and principle axes theorem. 0:00 Definition of a quadratic form 8:59 Principle axes theorem 14:41 Quadratic forms of conic sections 19:56 Identifying rotated conics 26:56 Classifying conics using the positive definite property