## Chapter5Geometric Properties of Linear Maps (GT)

Before beginning this chapter, you should be able to...

1. Calculate the area of a parallelogram.

2. Recall and use the definition of a linear transformation.

3. Find the matrix corresponding to a linear transformation of Euclidean spaces.

4. Find all roots of quadratic polynomials (including complex ones).

5. Interpret the statement “$$A$$ is an invertible matrix” in many equivalent ways in different contexts.

www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-parallelogram-area/v/intuition-for-area-of-a-parallelogram
www.khanacademy.org/math/algebra-home/alg-polynomials/alg-factoring-polynomials-quadratic-forms/v/factoring-trinomials-by-grouping-5
youtu.be/Aa-v1EK7DR4
www.youtube.com/watch?v=2yBhDsNE0w