Lectures related to Ken Goodman

Explores matrix algebra properties, bases, transformations, and applications in linear algebra.

Covers injectivity, surjectivity, and bijectivity in mathematical functions, explaining unique mappings and pre-image existence.

Covers commutative rings, fields, injective morphisms, characteristic, Frobenius, and binomial theorem.

Covers the definitions and properties of complex numbers, including conjugate and modulus.

Covers the definition and properties of determinants for square matrices, including elementary operations and Lagrange's theorem.

Covers the properties of rings, examples of rings, and polynomials.

Covers the definition and properties of a field of fractions.

Covers notations, operations, isomorphism, and polar decomposition of complex numbers.