In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras. The term abstract algebra was coined in the early 20th century to distinguish this area of study from th...
In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras. The term abstract algebra was coined in the early 20th century to distinguish this area of study from th...
Lecture 05: Binary relation
29mLecture 04: Set of sets
29mLecture 03: Set Operations (contd.)
29mLecture 02: Set Operations
29mLecture 01: Set Theory
29mLecture 06: Equivalence relation
29mLecture 07: Mapping
28mLecture 09: Binary Composition
26mLecture 08: Permutation
26mLecture 10: Groupoid
26mLecture 15 : Subgroup Operations
28mLecture 14 : Cyclic Group
28mLecture 13 : Subgroup
28mLecture 12 : Order of an element
28mLecture 11 : Group
28mLecture 16 : Left Cosets
28mLecture 17 : Right Cosets
26mLecture 18 : Normal Subgroup
32mLecture 19 : Rings
32mLecture 20 : Field
28mLecture 25 : Dimension of a Vector space
34mLecture 24 : Basis of a Vector Space
34mLecture 23 : Linear Span
34mLecture 22 : Sub-Spaces
34mLecture 21 : Vector Spaces
34mLecture 30: Linear Space
32mLecture 29: More on linear mapping
32mLecture 2: Linear Transformation (cont...)
32mLecture 27: Linear Transformation
32mLecture 26: Complement of subspace
32mLecture 35: Eigen value of a matrix
28mLecture 34: Row rank and Column rank
28mLecture 33: System of linear equations
28mLecture 32: Rank of a matrix (cont....)
28mLecture 31: Rank of a matrix
28mLecture 40 : Diagonalisable
27mLecture 39 : Similar matrices
27mLecture 38 : More on eigen value
27mLecture 37 : Geometric multiplicity
27mLecture 36 : Eigen Vector
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