Each transformation T below is linear. For each transformation

(i) make a sketch that illustrates how v is mapped to T(v)

(ii) find the matrix of T with respect to the standard basis

a. For each v in R3, T (v) obtained by projecting v onto the xy-plane and then reflecting the projected vector across the plane y = x.

b. For each v in R3, T (v) is the projection of v onto the xy-plane in R3.

c. For each v in R3, T (v) is the projection of v onto the xy-plane in R2.