linear equations and vector space, linear transformation and eigen values

This PDF contains handwritten notes divided into 4 parts, covering 2 complete units of the subject Linear Algebra and Differential Equations, as taught in B.Tech Engineering Mathematics. The notes are clearly explained and include definitions, formulas, step-by-step derivations, and solved examples, making them suitable for exam preparation and quick revision. Unit 1 – Linear Algebra covers topics such as: • Linear equations • Matrices and types of matrices • Determinants • Rank of a matrix • Elementary row and column transformations • Systems of linear equations and consistency Unit 2 – Differential Equations includes: • Basic concepts of differential equations • Order and degree • Standard methods of solving differential equations • Worked examples for better understanding These notes are ideal for B.Tech / engineering students looking for concise, exam-oriented handwritten study material for Linear Algebra & Differential Equations.