The linear transformation () = [ 1 0 0 1 ] is a reflection of 2 about a line. What features of the matrix tell you this? Find the equation of the line. 2. Find the matrix of the orthogonal projection onto the line l given by = 3. Begin by determining a unit vector on the line l. Use the matrix you just obtained to determine each of the following: a. Proj (1 ) = b. Proj ([ 2 2 ]) = c. Proj ([ 3 1 ]) = The vectors you obtained above should all lie on the line = 3. In other words, their -components should be three times their -components. Check that this is true. Your answer in part (c) ought to have been 0 because there is a special relationship between the line = 3 and the vector [ 3 1 ]. What is this relationship and why should this relationship cause the projection of [ 3 1 ] onto the line = 3 to equal 0?