13:21

#35: Spectral properties of compact linear operator

23:16

Elementary transformations and Gauss-Jordan Method

09:53

Equality of matrices

10:30

Types of Matrices

10:34

What is a matrix?

20:52

#34: Compactness of an adjoint operator

14:45

#33: What is the adjoint operator?

12:04

#32: Compact linear extension of compact operator

06:43

#31: Separability of range of compact linear operator

04:20

#30: Total boundedness implies boundedness

25:35

#29: Result on total boundedness

06:27

#28: What is total boundedness?

15:30

#27: Property of compact linear operators to convert weakly into strongly convergent sequences

15:39

#26: When does the limit of a sequence of compact linear operators be compact?

13:49

#25: The compactness criterion

14:33

#24: What are compact linear operators?

05:27

#23: Resolvent equation in Banach algebra

11:27

#22: Properties of Banach algebra-III

06:17

#21: Properties of Banach algebra-II

06:02

#20: Properties of Banach algebra-I

09:40

#19: Connection of spectra with Banach algebra

08:35

#18: What is normed and Banach algebra?

11:00

#17: Result on spectral radius

10:03

#16: The spectrum of a bounded linear operator is non-empty

16:27

#15: Role of complex analysis in spectral theory

07:40

#14: Linear independence of eigenvectors of a linear operator

21:07

#13: Spectral mapping theorem

07:59

#12: Motivation for spectral mapping theorem

10:18

#11: Resolvent equation and commutativity

06:59

#10: Spectral properties of bounded linear operators-III

12:42

#9: Spectral properties of bounded linear operators-II

08:30

#8: Spectral properties of bounded linear operators-I

28:50

Analysis of Variance (Two-way ANOVA)

25:26

Analysis of Variance (One-way ANOVA)

21:01

F-test for variance: examples

07:38

F-test for variance

16:51

Paired t-test

14:10

t-test for difference in mean

21:54

t-test for single mean: examples

07:09

t-test for small sample

20:02

Large sample Z-test for difference of standard deviation

17:26

Large sample Z-test for difference of mean

15:59

Z-test for single mean: example

17:15

Large sample Z-test for single mean

24:14

Basic terminology in testing of hypothesis - II

23:14

Basic terminology in testing of hypothesis - I

11:27

Introduction to statistical inference

17:07

#7: Spectral theory of normed spaces: Basic Concepts - II

10:17

#6: Spectral theory of normed spaces: Basic Concepts - I

19:33

#5: Transition from linear algebra to operator theory

08:54

#4: Properties of eigenvalues and eigenvectors

15:48

#3: Review of eigenvalues of matrices

18:55

#2: Learning about linear operators

06:22

#1: Introduction

08:31

Vector Calculus, IIT-JAM (Maths) 2018 Question, (Q.ID.M(JAM)VC10)

10:43

Vector Calculus, IIT-JAM (Maths) 2018 Question, (Q.ID.M(JAM)VC09)

11:52

Vector Calculus, IIT-JAM (Maths) 2018 Question, (Q.ID.M(JAM)VC08)

10:45

Function of two or three real variables (2018) (Q.ID.M(JAM)FTTRV09)

05:48

Function of two or three real variables (2018) (Q.ID.M(JAM)FTTRV08)

11:00

Function of two or three real variables (2019) (Q.ID.M(JAM)FTTRV07)