Bilinear form/Addition/Scalar multiplication/Exercise

a) Show that the sum of two bilinear forms ${\displaystyle {}\Psi _{1}}$ and ${\displaystyle {}\Psi _{2}}$ on a ${\displaystyle {}K}$-vector space ${\displaystyle {}V}$ is again a bilinear form.

b) Show that a scalar multiple of a bilinear form is again a bilinear form.