Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Linear Algebra

rootmath via YouTube

Overview

Dive into the fundamentals of linear algebra in this comprehensive 90-minute tutorial. Begin with an introduction to vectors, exploring their length in 2D space through practical examples. Progress to vector operations including addition, scalar multiplication, and subtraction. Expand your understanding to 3D vectors and the concept of R^n. Learn to calculate vector lengths and delve into proofs of vector properties such as commutativity and associativity. Explore the dot product, its definition, and its application in finding angles between vectors. Discover orthogonal vectors and conclude with a proof about parallelogram diagonals, building a solid foundation in essential linear algebra concepts.

Syllabus

Introduction to Vectors.
Length of a Vector in 2 Dimensions (examples).
1.1 Vector Addition.
1.1 Multiplying a Vector by a Scalar.
1.1 Vector Subtraction.
1.1 Vectors with 3 components (3 dimensions).
1.1 Length of a 3-Dimensional Vector.
1.1 Definition of R^n.
1.1 Length of a Vector.
1.2 Proof: Vector Addition is Commutative and Associative.
1.2 Algebraic Properties of Vectors.
1.3 Definition of the Dot Product.
1.3 Dot Product - Angle Between Two Vectors.
1.3 Find the Angle Between Two Vectors (example).
1.3 Orthogonal Vectors.
1.3 Proof about the Diagonals of a Parellelogram.

Taught by

rootmath

Reviews

Start your review of Linear Algebra

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.