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0:00:56

Concept of Direct Sums in Vector Spaces #vector_space #direct_sum

0:00:54

Illustrative example of a stabilizer #abstractalgebra#stabilizer

0:00:48

Properties of Isomorphisms acting on groups. #abstractalgebra #homomorphisms#isomorphisms

0:00:45

Some important remarks on cyclic groups Part-2. #abstractalgebra#cyclicgroups

0:06:35

Exercise question from book ''Contemporary Abstract Algebra'' by Joseph A. Gallian.

0:04:04

Determination for rule of a linear transformation using images of basis vectors.

0:03:43

Question from Inner Product Spaces.

0:02:06

Finding values of parameter 'c' for which given matrix is A singular.

0:03:57

Solving recurrence relation with given initial terms.

0:03:08

Exercise question from book ''Topics In Algebra'', author I.N.Herstein.

0:05:56

Question from Linear Algebra depending on the concept of basis and dimension.

0:04:02

Question from Linear Algebra on the concept of span of a set.

0:03:31

Exercise question from Linear Algebra on the concept of spanning set.

0:03:50

Solution of question from Linear Algebra on the concept of Linearly Independent, spanning and basis.

0:04:58

Question from Linear Algebra on the concept of linearly independent vectors.

0:03:07

Question from Linear Algebra regarding Linear Transformations.

0:04:16

Exercise question from linear algebra regarding linearly independent and dependent vectors.

0:03:04

Finding range and dimension of range of given linear transformation.

0:03:10

Finding basis and dimension of kernal of a linear transformation.

0:02:14

Theorem : ''Two Step Subgroup Test'' in Group Theory.

0:03:43

Theorem : ''One Step Subgroup Test'' in Group Theory.

0:01:46

Theorem ''Socks-Shoes Property''

0:01:53

''Uniqueness of Inverse'' theorem in Groups.

0:02:36

''Cancellation Theorem'' in Group Theory.