Intro to Discrete Structure & Linear Algebra | B.Tech AIML RGPV (AL-401) | Covers Eigen Decomposition, SVD & Graph Theory | Useful for GATE DA & GATE CS | MCQs & Solved Examples

Publisher: Shree Sai Prakashan | Authors: Dr. D.C. Agarwal & Dr. Pradeep K. Joshi

Introduction to Discrete Structure & Linear Algebra is a comprehensive 536-page textbook for B.Tech AI & Machine Learning students at RGPV Bhopal, covering the complete AL-401 (4th semester) syllabus.

Covers 5 units: Set Theory & Relations (Venn Diagrams, POSET, Hasse diagrams, Lattice) — Algebraic Structures (Semi Groups, Monoids, Groups, Abelian Groups, Rings, Fields, Recurrence Relations, Generating Functions) — Propositional Logic (First Order Logic, Truth Tables, Normal Forms, Quantifiers) & Graph Theory (types, Paths, Cycles, Shortest Path, graph colouring) — Linear Algebra for AI (Determinant, Trace, Cholesky Decomposition, Eigenvalue Decomposition, Singular Value Decomposition (SVD), Gradient of Matrix) — Statistical Methods (Hypothesis Testing, Time Series Analysis, ANOVA).

Unit IV is especially powerful for AI/ML students: Eigenvalue Decomposition and SVD are the mathematical core of Principal Component Analysis (PCA), dimensionality reduction, neural network optimization, and recommender systems. Topics align with GATE DA and GATE CS. Contains MCQs, HOTS Questions, Objective Questions, and fully worked solved examples.