Recall the bus and trolley matrices from the lesson:
b =
1 3 1 0
2 0 2 2
2 1 0 1
0 2 1 0
and =
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1

a. explain why it makes sense that b= in the context of the problem.
b. multiply out b and to show b=
c. consider the multiplication that you did in part (b). what about the arrangement of the entries in the identity
matrix causes b= b?