Consult the map above. The horizontal road at bottom is New York Street. In downtown Indianapolis, let’s consider the Ea

[answerhappygod]

Consult the map above. The horizontal road at bottom is New York
Street. In downtown Indianapolis, let’s consider the Eagle to be
the center of the universe.
Question 1: A strange mathematician at the
Eagle tells you that in the “Delaware-New York” basis the
coordinates of the Rathskeller are (2,2). What does that mean?
Question 2: Then he tells you that the
Rathskeller is actually (2,0), in the “Massachusetts-New York”
basis. Try to make sense of that.
Question 3: In the two coordinate bases, what
are the coordinates of St. Mary’s Church at the corner of Vermont
and New Jersey?
Question 4: Is there a matrix that could
transform the “Delaware-New York” coordinates into the
“Massachusetts-New York” coordinates? If so, how would you find
it?