NOC:Introduction to Abstract and Linear Algebra


Lecture 1 - Set Theory


Lecture 2 - Set Operations


Lecture 3 - Set Operations (Continued...)


Lecture 4 - Set of sets


Lecture 5 - Binary relation


Lecture 6 - Equivalence relation


Lecture 7 - Mapping


Lecture 8 - Permutation


Lecture 9 - Binary Composition


Lecture 10 - Groupoid


Lecture 11 - Group


Lecture 12 - Order of an element


Lecture 13 - Subgroup


Lecture 14 - Cyclic Group


Lecture 15 - Subgroup Operations


Lecture 16 - Left Cosets


Lecture 17 - Right Cosets


Lecture 18 - Normal Subgroup


Lecture 19 - Rings


Lecture 20 - Field


Lecture 21 - Vector Spaces


Lecture 22 - Sub-Spaces


Lecture 23 - Linear Span


Lecture 24 - Basis of a Vector Space


Lecture 25 - Dimension of a Vector space


Lecture 26 - Complement of subspace


Lecture 27 - Linear Transformation


Lecture 28 - Linear Transformation (Continued...)


Lecture 29 - More on linear mapping


Lecture 30 - Linear Space


Lecture 31 - Rank of a matrix


Lecture 32 - Rank of a matrix (Continued...)


Lecture 33 - System of linear equations


Lecture 34 - Row rank and Column rank


Lecture 35 - Eigen value of a matrix


Lecture 36 - Eigen Vector


Lecture 37 - Geometric multiplicity


Lecture 38 - More on eigen value


Lecture 39 - Similar matrices


Lecture 40 - Diagonalisable