Lectures related to Differential of a Morphism

Explores Lie groups, scalar fields, and vector spaces transformations.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Introduces Lie algebras, vector spaces with a special bracket operation.

Covers the definition and properties of matrix norms and the exponential of matrices.

Explores regularity in algebraic geometry and the geometric implications of the Jacobian criterion.

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.

Explores area determination, linear applications, matrix operations, and vector spaces.

Covers the definitions and properties of vector spaces, including axioms and examples.

Demonstrates the proof of a matrix as a projection matrix in Rn.