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YouTube

Linear Algebra

rootmath via YouTube

Overview

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This introductory course develops vector algebra in two, three, and n-dimensional spaces, covering vector operations, lengths, dot products, angles, and orthogonality.

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

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