Chapter 7 Explorations

Section 7.1, Extension of Exploration 1 (page 569)

Consider the system:

1. Draw the graphs of the two equations in the [-6, 6] by [-4, 4] viewing window.

2. Find the coordinates of the points of intersection shown in the viewing window.

3. How many solutions does this system of equations have? Explain.

Section 7.2, Extension of Exploration 1 (page 579)

4. Determine the additive inverse of B.

5. Determine the matrix A + B and its additive inverse. How is the additive inverse of A + B related to the additive inverses of A and B.

Section 7.4, Extension of Exploration 1 (page 609)

Use the method illustrated in parts 1 and 2 to find the partial fraction decomposition of the following rational functions.