We have loked at several general matrix transformations in module 1. answer the questions below about these
familiar matrices, and explain your answers.
a. what efect does the identity transformation have on the unit square? what is the area of the image?
confirm your answer using the determinant.
b. how does a dilation with a scale factor of k change the area of the unit square? calculate the determinant of a
matrix representing a pure dilation of k.
c. does a rotation with no dilation change the area of the unit square? confirm your answer by calculating the
determinant of a pure rotation matrix, and explain it