Week 2: February 16-20

President’s Day; no classes

Chapter 2.1 Linear transformations and their inverses

Key points: a) The notion of a function from one space to another.

b) Linear transformations.

c) Terminology: Linear transformations, identy matrix,

invertibility, domain, codomain.

Homework: 6, 14, 24, 34, 42, (25-30)*, 43*, 44*

Chapter 2.2 Linear transformations in geometry

Key points: a) Fact 2.2.1, a transformation is linear if and only if … .

b) Go through examples of rotations, dilations, shears, reflections

and projections to given intuition about linear transformations. The terminology is not the key point and needn’t be remembered.

Homework: 6, 16b, 18, 24, 34, 15*, 45*