Given x =
and y= −4
−2
:
a. find x + and graph the parallelogram that is formed by x, x + and the origin.
b. transform the unit square by multiplying it by the matrix −4
1 −2
and graph the result.
c. what did you find from parts (a) and (b)?
d. what is the area of the parallelogram that is formed by part (a)?
e. what is the determinant of the matrix −4
1 −2

f. based on observation, what can you say about the degenerate parallelograms in part (a) and part (b)?