Lectures related to Properties of Subtraction

Covers the rules of calculation for powers, roots, and more, focusing on positive numbers and integers.

Covers addition properties and operations in the set of integers Z.

Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.

Covers matrix multiplication, properties, and the identity matrix in algebraic operations.

Covers the construction and properties of rational numbers, including fractions and equivalence, with proofs on commutativity.

Explores Lagrange multipliers for finding extrema under constraints and various proof methods.

Covers function composition and integers, including properties and examples.

Explores reciprocity, equivalence, and proof techniques in linear algebra, emphasizing logical reasoning and mathematical rigor.