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Quadratic Forms, Conic Sections, Positive Definite, Examples - Linear Algebra
6 months ago
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Health & Science
Education
linear algebra
quadratic forms
quadratic form positive definite example
quadratic forms linear algebra
conic sections
quadratic form positive definite
quadratic form
linear algebra with applications jeffery holt
positive definite matrices
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
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