What you will learn from this course?

Vectors: Vectors and spaces
– Linear combinations and spans: Vectors and spaces
– Linear dependence and independence: Vectors and spaces
– Subspaces and the basis for a subspace: Vectors and spaces
– Vector dot and cross products: Vectors and spaces
– Matrices for solving systems by elimination: Vectors and spaces
– Null space and column space: Vectors and spaces

Matrix transformations
– Functions and linear transformations: Matrix transformations
– Linear transformation examples: Matrix transformations
– Transformations and matrix multiplication: Matrix transformations
– Inverse functions and transformations: Matrix transformations
– Finding inverses and determinants: Matrix transformations
– More determinant depth: Matrix transformations
– Transpose of a matrix: Matrix transformations

Alternate coordinate systems (bases)
– Orthogonal complements: Alternate coordinate systems (bases)
– Orthogonal projections: Alternate coordinate systems (bases)
– Change of basis: Alternate coordinate systems (bases)
– Orthonormal bases and the Gram-Schmidt process
– Eigen-everything: Alternate coordinate systems (bases)

Certification : No
Time to complete : 1 week
Cost : Free
Course Level : Beginner
Language : English