Let x,y,z,w \in \mathbb{R}^5 Let


T(x,y,z) = 2x_2 y_2 z_1 +x_1 y_5 z_4
S(x,y) = x_1 y_3 + x_3 y_1
R(w) = w_1-2w_3


(a) Write  Alt(T) and  Alt(S) in terms of elementary alternating tensors. (I think this is analogically to writing T and S in terms of
alternating tensors )


(b) Express Alt(T) \wedge R in terms of elementary alternating tensors.

(c) Express Alt(T)(x,y,z) as a FUNCTION.