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0:00:15

study time...

0:32:06

Evaluate Determinant with respect to any row...

0:20:12

determinant of an n×n matrix is a linear function of each row when remaining row held fix

0:10:38

Determinant of an n×n Matrices...

0:36:08

Area of Parallelogram...Orientation...

0:25:49

Determinant of Order 2×2 Matrix...Related theorem...

0:20:29

(U_n ,*) be a group...where (Z_n,*) be not a group...

0:14:49

(Z_n,+) is an abelian group...

0:29:01

Group...Example of Group...Uniqueness of Identity element and Inverse Element...

0:35:41

One Isomorphism between the set B(V) and the set of all n×n Matrices with entries from F...

0:36:07

Bilinear Form...Related Examples...Matrix Representation of Bilinear Form...

0:16:03

State Theorem And Related Example of A dragger b...

0:34:48

A dragger b is related to system of Linear Equation...Related Lemma and Theorem...

0:22:48

PseudoInverse of a Matrix...Related Examples...

0:24:03

PseudoInverse of A Linear Transformation...Examples...

0:28:03

Polar Decomposition Theorem for A Square Matrix...

0:27:35

State and Proof Singular Value Decomposition Theorem for Matrices...

0:36:39

State Singular Value Decomposition Theorem for Matrices and Related Examples...

0:28:03

Corollaries Related to The Spectral Theorem...

0:32:55

Orthogonal Operator & Unitary Operator...

0:40:52

Self Adjoint Operator...Every eigenvalues of Self Adjoint Operator be real...

0:27:38

Theorem Related to Normal Operator...

0:35:22

Normal Operators...Schur Theorem...Examples of Normal Operator...

0:09:02

Example of Minimal Solution To the Given System...