Course: LINEAR ALGEBRA-KHAN ACADEMY
Course Provider:
Khan Academy
Course Duration:
3 weeks.
Course Instructors:
Prof. Gilbert Strang
Description:
"Unit 1: Vectors and spaces
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 Unit 2: 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
Unit 3: 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: Alternate coordinate systems (bases)
Eigen-everything"
Course Link: