MTH501: MTH501 Handouts PDF
Linear Algebra
Download the complete MTH501 Linear Algebra handouts in one PDF, all 45 lectures from start to end. Read a lecture, then test yourself with the matching quiz so it stays in your head on exam day.
- 45 lectures
- 524 pages
- PDF, 3.7 MB
- Updated November 2026
What is inside the MTH501 handouts
Every lecture in the PDF. Tap one to practise its quiz.
- 1 MTH501 Lecture 1Introduction
- 2 MTH501 Lecture 2Introduction to Matrices.
- 3 MTH501 Lecture 3System Of Linear Equations.
- 4 MTH501 Lecture 4Row reduction and Echelon Form of a Matrix.
- 5 MTH501 Lecture 5Vector Equations.
- 6 MTH501 Lecture 6Matrix Equations.
- 7 MTH501 Lecture 7Solution Set of Linear Equations.
- 8 MTH501 Lecture 8Linearly Dependent and Linearly Independent Sets.
- 9 MTH501 Lecture 9Linear Transformations.
- 10 MTH501 Lecture 10The Matrix of Linear Transformations.
- 11 MTH501 Lecture 11Matrix Algebra.
- 12 MTH501 Lecture 12Inverse of a Matrix.
- 13 MTH501 Lecture 13Characterisation of Invertible Matrices.
- 14 MTH501 Lecture 14Partitioning of a Matrix.
- 15 MTH501 Lecture 15Matrix Factorization.
- 16 MTH501 Lecture 16Iterative Solution of Linear Systems.
- 17 MTH501 Lecture 17Introduction to Determinants.
- 18 MTH501 Lecture 18Properties of Determinants.
- 19 MTH501 Lecture 19Cramer's rule, Volume and Linear Transformations.
- 20 MTH501 Lecture 20Vector Spaces.
- 21 MTH501 Lecture 21Null Spaces,Column Spaces and Linear Transformations.
- 22 MTH501 Lecture 22Bases for a vector Space.
- 23 MTH501 Lecture 23Coordinate systems.
- 24 MTH501 Lecture 24Dimension of a Vector Space.
- 25 MTH501 Lecture 25The Rank Theorem and Invertible Matrix Theorem.
- 26 MTH501 Lecture 26Change of Bases of a Vector Space.
- 27 MTH501 Lecture 27Applications of vector spaces to Difference Equations.
- 28 MTH501 Lecture 28Eigenvalues of a Matrix.
- 29 MTH501 Lecture 29Characteristic Equation of a Matrix.
- 30 MTH501 Lecture 30Diagonalization of a Matrix.
- 31 MTH501 Lecture 31Eigen Vectors of linear Transformation.
- 32 MTH501 Lecture 32Complex Eigenvalues and Vectors.
- 33 MTH501 Lecture 33Discrete Dynamical Systems.
- 34 MTH501 Lecture 34Applications to Differential Equations.
- 35 MTH501 Lecture 35Iterative Estimates for Eigenvalues.
- 36 MTH501 Lecture 36Revision
- 37 MTH501 Lecture 37Revision ( system of Linear Equations).
- 38 MTH501 Lecture 38Inner Product and orthogonal vectors.
- 39 MTH501 Lecture 39Orthogonal Sets.
- 40 MTH501 Lecture 40Orthogonal Projections.
- 41 MTH501 Lecture 41Gram-Schmidt Process.
- 42 MTH501 Lecture 42Least Squares Problems.
- 43 MTH501 Lecture 43Inner Product Spaces.
- 44 MTH501 Lecture 44Applications of Inner Product Spaces.
- 45 MTH501 Lecture 45Revision of the Course and Vector Spaces.
How to study MTH501 with the handouts
Reading alone is not enough. This is what works for most VU students.
- 1Read one or two lecturesShort sessions stick better than reading the whole PDF the night before.
- 2Take the lecture quizEvery Gradup quiz matches the handout lectures, with explanations in English and Roman Urdu.
- 3Revise what you got wrongGo back to those pages in the handouts, then try the quiz again.
- 4Take a mock before the examPick the lectures in your midterm or final term syllabus and get a mock paper from only those.
Frequently asked questions
About the MTH501 handouts.
Tap Download PDF on this page. You get the complete MTH501 Linear Algebra handouts in one file (524 pages, 3.7 MB). It is free and you do not need to sign up.
The MTH501 handouts cover all 45 lectures of Linear Algebra, from the first lecture to the last.
Your teacher announces the midterm and final term syllabus on VU LMS each semester. Usually the midterm covers about the first half of the lectures and the final term covers the whole course.
Read a few lectures, then take the matching MTH501 lecture quiz on Gradup. Each answer comes with an explanation in English and Roman Urdu, and a midterm or final term mock tests you before the exam.