1.8.12 Quadratic Forms
Condition: to explore the acquaintance of the quadratic form depending on the value of the parameter \ (\ lambda \). \ [f (x, y) = 2 \ lambda x^{2}+(2 \ lambda+8) x y+(\ lambda+1) y^{2} \]
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.