**Readings Questions:**

You should read the section before
attempting any reading questions or problems. Remember that you are responsible
for all definitions and examples. **Also remember to keep the answers
to the reading questions on a separate piece of paper; these will be randomly
collected from time to time.**

1) Define the following
in your own words.

a) span
b) parallelepiped
c) rotation matrix
d) dilation

2) Explain the difference between a dilation and a coordinate rescaling. What shape will you get if you perform a dilation on a sphere? What shape will you get if you perform a coordinate rescaling on a sphere?

3) The text shows that
invertible linear transformations preserve parallelograms and discusses
how these transformations alter the area of the parallelogram. Since
a triangle is half of a parallelogram similar results should apply to a
triangle. Show this by answering problem #6 and #7 from page 141.

**Problems:**

**page 141
2, 3, 8, 10, 11a, 12a,b, 13, 15, 20**