Let v=113,w=311 , and let V = span(v,w )

(a) Find an orthogonal basis U = {u1,u2,u3} of R^3 such that span(u1,u2,u3 )=V

(b) Find the U-matrix of the orthogonal projection onto V .

(c) Find the U -matrix of the reflection through the plane V .

(d) Find the U-matrix of the 180 rotation of R^3 about the axis Span(u3 )

(e) Find the E-matrix of one of the three transformations just given.