Math: High school & college Ages 14-18 ● Media ready

Linear algebra

Learn linear algebra—vectors, matrices, transformations, and more.

3 units 19 lessons 135 videos 13 on CDN

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Unit 2 Vectors and spaces

1 Vectors Free 7 video(s) ● 2 Linear combinations and spans Free 1 video(s) ● 3 Linear dependence and independence Free 3 video(s) ● 4 Subspaces and the basis for a subspace 🔒 Pro 2 video(s) ● 5 Vector dot and cross products 🔒 Pro 13 video(s) 6 Matrices for solving systems by elimination 🔒 Pro 3 video(s) 7 Null space and column space 🔒 Pro 12 video(s)

Unit 3 Matrix transformations

1 Functions and linear transformations 🔒 Pro 10 video(s) 2 Linear transformation examples 🔒 Pro 6 video(s) 3 Transformations and matrix multiplication 🔒 Pro 5 video(s) 4 Inverse functions and transformations 🔒 Pro 9 video(s) 5 Finding inverses and determinants 🔒 Pro 7 video(s) 6 More determinant depth 🔒 Pro 9 video(s) 7 Transpose of a matrix 🔒 Pro 9 video(s)

Unit 4 Alternate coordinate systems (bases)

1 Orthogonal complements 🔒 Pro 7 video(s) 2 Orthogonal projections 🔒 Pro 9 video(s) 3 Change of basis 🔒 Pro 7 video(s) 4 Orthonormal bases and the Gram-Schmidt process 🔒 Pro 9 video(s) 5 Eigen-everything 🔒 Pro 7 video(s)