Linear algebra is the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. Linear algebra is central to almost all areas of mathematics. In this course, you will learn most of the basics of linear algebra which will help to understand better and apply in data science as well.

**Topics Covered**

Introduction to Vectors (0:00)

Length of a Vector in 2 Dimensions (examples) (06:58)

Vector Addition (11:55)

Multiplying a Vector by a Scalar (16:38)

Vector Subtraction (19:32)

Vectors with 3 components (3 dimensions) (22:27)

Length of a 3-Dimensional Vector (26:05)

Definition of R^n (34:00)

Length of a Vector (40:37)

Proof: Vector Addition is Commutative and Associative (42:14)

Algebraic Properties of Vectors (49:59)

Definition of the Dot Product (51:33)

Dot Product – Angle Between Two Vectors (55:15)

Find the Angle Between Two Vectors (example) (01:4:41)

Orthogonal Vectors (1:08:26)

Proof about the Diagonals of a Parellelogram (01:12:47)