Linear Algebra
Lecture Slides
Lectures
Lecture 1 10 March 2026
Intorduction to Vectors
All about Vectors and Vector Operations like addition, subtraction and transpose of vectors.
Lecture 2 17 March 2026
Hadamard and Dot Products
All about hadamard and dot products and matrix multiplication
Lecture 3 24 March 2026
Trace of Matrix, Matrix Inner Product
All about trace of matrix, matrix inner product and transpose properties.
Lecture 4 7 April 2026
System of Linear Equations and Gaussian Elimination
Solving systems of linear equations using row operations, augmented matrices, and Gaussian elimination with two and three variables.
Lecture 5 14 April 2026
REF and RREF
Solving systems of linear equations using row echelon form.
Lecture 6 21 April 2026
Using Matrices as Functions of Vectors
Exploring how matrices can be used to transform vectors and solve linear systems.
Lecture 7 23 April 2026
Matrix Operations like Summation, Averaging, and Transformations
Understanding how matrices compute sums, averages, and act as functions to transform vectors.
Lecture 8 28 April 2026
Matrix Transformations, Centering, Scaling, and Inverse Methods in Linear Algebra
Study of linear algebra transformations including matrix-based rotation, scaling, and centering of data, along with combining transformations, computing centroids, and solving linear systems using matrix inverses. Covers 2×2 matrix inverses, Gaussian elimination, and applications in solving Ax = B.
Lecture 9 2 June 2026
Vector Spaces, Row Space, and Column Space in Linear Algebra
Understanding vector spaces in linear algebra including axioms of vector spaces, linear combinations, span, basis, row space, and column space of matrices. Covers key concepts of linear independence, Gaussian elimination, and how matrix transformations relate to solving systems of linear equations.