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
