Introduction to orthonormal bases | Linear Algebra | Khan Academy

Least squares examples | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy

The Gram-Schmidt process | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy

Coordinates with respect to orthonormal bases | Linear Algebra | Khan Academy

Linear transformations | Matrix transformations | Linear Algebra | Khan Academy

Orthogonality and Orthonormality

17. Orthogonal Matrices and Gram-Schmidt

Basis of a subspace | Vectors and spaces | Linear Algebra | Khan Academy

Linear combinations and span | Vectors and spaces | Linear Algebra | Khan Academy

Orthogonal Matrices and their Properties | Linear Algebra

Orthogonal complements | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy

Example using orthogonal change-of-basis matrix to find transformation matrix | Khan Academy

Independence, Basis, and Dimension

Finding Basis for Column Space, Row Space, and Null Space - Linear Algebra

Projections onto subspaces with orthonormal bases | Linear Algebra | Khan Academy

Orthogonal Vectors and Subspaces

Gram-Schmidt example with 3 basis vectors | Linear Algebra | Khan Academy

Linear subspaces | Vectors and spaces | Linear Algebra | Khan Academy

Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra

Projections onto subspaces | Linear Algebra | Khan Academy

1. The Geometry of Linear Equations