Dot Product Properties (with proofs)

The Norm of a Vector

Definition of Orthogonal Vectors

Inner Product Introduction

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The Big Picture of Linear Algebra

30. Linear Transformations and Their Matrices

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Orthogonal Complements

Orthogonal Projection of Vectors

Bernadya - Galau Bareng

6. Column Space and Nullspace

Representing Vectors with an Orthogonal Basis

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15. Projections onto Subspaces

The Distance Between Two Vectors

Image and Kernel

Geometric Meaning of the Gradient Vector