08:07
an exercise on the method of cylindrical shell
09:17
An exercise on the method of washer to find volume of solid
06:54
Another integral based on trigonometric substitution
03:11
Another trigonometric integral
04:54
An exercise in integration (challenging)
03:35
An exercise in integration (challenging)
09:11
An inequality about harmonic mean, geometric mean, arithmetic mean and quadratic mean.
07:21
The characteristic polynomial of a matrix (Part 3)
03:23
The characteristic polynomial of a matrix (Part 2)
05:45
An interesting question on matrices
09:00
Similar matrices and diagonalizable matrices
09:37
On diagonalizable matrices
07:03
Similar matrices and their common properties
06:43
The eigenspace of a matrix.
01:51
The characteristic polynomial of a matrix (Part 1)
05:13
Eigenvalues and eigenvectors of a matrix (Part 2)
15:08
Eigenvalues and eigenvectors of a matrix (Part 1)
03:12
An interesting theorem on the properties of matrices
08:49
The Rank-Nullity formula for a matrix M
03:59
The nullity of a matrix M.
06:39
The null space of a matrix M
03:02
The rank of a matrix M
11:24
Exercises on row/column spaces of matrices
11:51
The column space of a matrix M
10:07
The row space of a matrix M
03:57
Coordinate vectors with respect to a basis
06:20
Exercises on the topic of bases of a vector space
11:14
The basis of a vector space
10:14
Linearly independence of vectors
10:55
Exercises on the topics of linear combinations and spanning set of vectors
11:53
The Span of a collection of vectors (the spanning set of vectors)
09:06
Linear combinations of vectors
10:41
Introduction to vector subspaces
11:04
An introduction to vector spaces
05:38
To solve a linear system by Cramer's Rule
08:46
A theorem about the determinant of the coefficient matrix of a linear system
05:53
Further properties of determinants
09:27
Some exercises on properties of determinants
21:43
Properties of determinants
05:47
Taking a linear system as a matrix equation
06:24
Finding the inverse of a matrix by cofactor method
04:27
An exercise on finding the determinant of a (4x4)-matrix
03:11
A shortcut to find the determinant of a (3x3)-matrix
07:41
Finding the determinant of a (nxn)-matrix by cofactor expansions
06:11
Finding the determinant of a (2x2)-matrix.
12:35
Finding the inverse of a matrix by row operations
05:40
Some computational exercises on various matrix operations
10:53
Finding the inverse of a (2x2)-matrix
03:31
Some special matrices
06:30
On matrix multiplications
08:13
An introduction to matrices
07:10
Special exercises on solving some linear systems
06:10
On homogeneous system of linear equations
04:42
To solve a linear system by Gaussian Elimination (Part 5)
06:43
To solve a linear system by Gaussian Elimination (Part 4)
04:36
To solve a linear system by Gaussian Elimination (Part 3)
10:28
To solve a linear system by Gaussian Elimination (Part 2)
07:20
To solve a linear system by Gaussian Elimination (Part 1)
13:03
Prerequisites: To solve a linear system of two equations
09:17
Calculus: Power Series (Introduction to Taylor Series)
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