Dot Product: Properties and Applications

Introduces vector spaces, subspaces, linear maps, and evaluation maps, with examples and exercises for better comprehension.

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Covers linear applications between vector spaces, exploring their properties and uniqueness based on bases.