Bilinear Form(redirected from Symmetric bilinear space)
bilinear form[¦bī‚lin·ē·ər ′fȯrm]
a form—that is, a homogeneous polynomial—of the second degree from two groups of variables x1, x2, . . . , xn and y1, y2, . . . , yn nof the form
For example, axy is a bilinear form of the variables x and y, and a11x1y1 + a21x2y1 + a22x2y2 is a bilinear form of the variables x1, x2, and y1, y2. A bilinear form is a particular type of quadratic form.