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Chapter 5 Geometric Properties of Linear Maps (GT)

Readiness Assurance.

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.

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