Bilinear forms (intro)
General · Mathematics
Study notes
Q: Is B((x₁,y₁),(x₂,y₂)) = x₁x₂+2x₁y₂+2y₁x₂+3y₁y₂ symmetric? Matrix? B = [x₁ y₁][[1,2],[2,3]][x₂ y₂]ᵀ. Matrix [[1,2],[2,3]]: symmetric ✓: B symmetric! B(u,v) = B(v,u) ✓. (Quadratic form: Q(v) = B(v,v)!)