1.8.16 Quadratic Forms
Condition: bring a quadratic form to the canonical appearance by the Lagrange method. \ [x_ {1}^{2} +4 x_ {1} x_ {2} +2 x_ {1} x_ {3} +3 x_ {2^{2} +2 x_ {2} x_ {3}+x_ {3} {2} \ text {. } \]
Investigation of Quadratic Forms, Their Reduction To Canonical and Normal Forms with Finding Transformation Matrices Using Lagrange and Orthogonal Transformation Methads. Positive and Negative Definite Quadratic Forms, Sylvester's Criterion.