%0 Journal Article %T Dual Spaces and Bilinear Forms in Supertropical Linear Algebra %A Zur Izhakian %A Manfred Knebusch %A Louis Rowen %J Mathematics %D 2012 %I arXiv %X Continuing [5], this paper investigates finer points of supertropical vector spaces, including dual bases and bilinear forms, with supertropical versions of standard classical results such as the Gram-Schmidt theorem and Cauchy-Schwarz inequality, and change of base. We also present the supertropical version of quadratic forms, and see how they correspond to symmetric supertropical bilinear forms. %U http://arxiv.org/abs/1201.6481v1