Consider the quadratic form q(x₁, x2, x3) = 6x1² + 4x1x2

Last updated: 7/22/2022

Consider the quadratic form q(x₁, x2, x3) = 6x1² + 4x1x2 +9x2² + 7x3². 3.a Find the matrix A of this quadratic form. What is the definiteness of q(x)? 3.b Find the points on the surface q(x) =1 that are closest to the origin. 3.c Find all values of k for which the surface x^T(A-kI3)x = 1 is a hyperboloid of two sheets.