AL-401 Introduction to Discrete Structure &Linear Algebra Notes
5 notes for Introduction to Discrete Structure &Linear Algebra, unit by unit.
Notes for AL-401
- Unit 1 · Short notes Set Theory, Relation, Function, Theorem Proving Techniques Definition of sets · Venn diagram · General identities on sets · Definition of relation · Types of relation · Composition of relations
- Unit 2 · Short notes Algebraic Structure Definition and properties of semigroup · Monoid · Group · Abelian group · Properties of groups · Cyclic group
- Unit 3 · Short notes Propositional Logic and Graph Theory Proposition · First‑order logic · Basic logical operations · Truth tables · Tautologies and contradictions · Algebra of propositions
- Unit 4 · Short notes Matrices and Decompositions Determinant · Trace · Cholesky decomposition · Eigen decomposition · Singular value decomposition (SVD) · Gradient of a matrix
- Unit 5 · Short notes Statistical Methods Test of hypothesis: concept and formulation · Type‑I and Type‑II errors · Time series analysis · Analysis of variance (ANOVA)
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