Vectors 1: definition, algebra & geometric proofs

Vectors 2: the dot product

Vectors 3: 3D vectors

Vectors 4: the cross product

Vectors 5: lines and planes

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Matrices 1: introduction

Matrices 2: matrix algebra 1

Matrices 3: matrix algebra 2

Matrices 4: 2 by 2 inverses

Matrices 5: 3 by 3 inverses

Matrices 6: simultaneous equations with matrices

Matrices 8: row reduction 1

Matrices 9: row reduction 2 matrix inverse

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Matrices 10: plane geometry

Matrices 11: linear transformations