1.8.13 Quadratic Forms
Condition: Give a quadratic form \ (f \ left (x_ {1}, x_ {2} \ right) =-7 x^{2} +4 x_ {1} x_ {2} -7 x_^{2} {2} \) \ (\ k}) by canonical species by the canonical species Lagrange and Jacobi. Find out the familiarity of the quadratic shape.
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.