13.79M
Category: mathematicsmathematics

Linear Algebra. Lecture 2

1.

Linear Algebra
Lecture 2
1.7 Linear Independence;
1.8 Introduction to Linear Transformations;
1.9 The Matrix of a Linear Transformation

2.

Learning Objectives:
1. Represent Linear Independence of sets of vectors.
2. To do mapping from R2 to R3.
3. Meaning of shear transformation.
4. Matrix Transformations: Reflections; Contractions and Expansions; Shears.
5. Differentiate onto and one-to-one mapping.

3.

1.7. Linear Independence

4.

Solution

5.

Linear Independence of Matrix Columns

6.

Sets of One or Two Vectors

7.

Sets of Two or More Vectors
English     Русский Rules