Канал: Joy Zhou

Testing if a subset of a vector space is a subspace, the 2 axioms involved and why

Testing if a subset of a vector space is a subspace, the 2 axioms involved and why

Subspaces Part 1: definition of a subspace

Subspaces Part 1: definition of a subspace

Vector space Part 3: definition of a vector space

Vector space Part 3: definition of a vector space

Vector spaces Part 2: What makes R^n a "space" continued

Vector spaces Part 2: What makes R^n a "space" continued

Vector space Part 1: what makes R^n a "space"

Vector space Part 1: what makes R^n a "space"

Vector operatorations: addition, subtraction, scalar multiplication, Part 2, algebraic

Vector operatorations: addition, subtraction, scalar multiplication, Part 2, algebraic

Vector operations: addition, subtraction, & scalar multiplication, Part 1, geometric

Vector operations: addition, subtraction, & scalar multiplication, Part 1, geometric

What are vectors? Part 4, the Euclidean n-space

What are vectors? Part 4, the Euclidean n-space

What are vectors? Part 3, components of a vector

What are vectors? Part 3, components of a vector

What are vectors? Part 2, vectors in the xOy coordinate system

What are vectors? Part 2, vectors in the xOy coordinate system

What are vectors? Part 1, physical and geometric vectors

What are vectors? Part 1, physical and geometric vectors

Introduction to Matlab interface and the publishing feature (instructions for labs in MATH 272)

Introduction to Matlab interface and the publishing feature (instructions for labs in MATH 272)

Example of a linear equation (Breakfast series part 1)

Example of a linear equation (Breakfast series part 1)

How to verify & visualize a solution of a linear equation (Breakfast series part 2)

How to verify & visualize a solution of a linear equation (Breakfast series part 2)

What is a linear system? A 2 by 2 example. (Breakfast series part 3)

What is a linear system? A 2 by 2 example. (Breakfast series part 3)

What is a homogeneous linear equation? (Definition and examples)

What is a homogeneous linear equation? (Definition and examples)

What is a linear system? (Definition and examples)

What is a linear system? (Definition and examples)

What is a homogeneous linear system? The definition.

What is a homogeneous linear system? The definition.

What is a linearly independent set?

What is a linearly independent set?

Geometric view of linear equations

Geometric view of linear equations

What is a linear equation? (Definition and examples)

What is a linear equation? (Definition and examples)

Complex eigenvalues and eigenvectors: An Example Part 3

Complex eigenvalues and eigenvectors: An Example Part 3

Complex eigenvalues and eigenvectors: An Example. Part 2

Complex eigenvalues and eigenvectors: An Example. Part 2

Complex Eigenvectors: An Example. Part 1

Complex Eigenvectors: An Example. Part 1

Complex Eigenvalues and Eigenvectors: complex conjugates

Complex Eigenvalues and Eigenvectors: complex conjugates

Linearly independent functions: example

Linearly independent functions: example

The rank nullity relation and examples

The rank nullity relation and examples

linear Independence of functions

linear Independence of functions

How to find the range of a matrix: example

How to find the range of a matrix: example

How to find the null space and the nullity of a matrix: Example

How to find the null space and the nullity of a matrix: Example

Common singular matrices: part 3

Common singular matrices: part 3

Common singular matrices: part 2

Common singular matrices: part 2

Common singular matrices: part 1

Common singular matrices: part 1

2 common confusions about linear systems, augmented matrices, and reduced Echelon forms

2 common confusions about linear systems, augmented matrices, and reduced Echelon forms

How to multiply two matrices? Is AB = BA for matrices? Example 1.

How to multiply two matrices? Is AB = BA for matrices? Example 1.

How to multiply two matrices? Is AB = BA? Example 2

How to multiply two matrices? Is AB = BA? Example 2

What is the scalar product (dot product) of two vectors?

What is the scalar product (dot product) of two vectors?

How to find out if a set of vectors are linearly independent? An example.

How to find out if a set of vectors are linearly independent? An example.

When is vector b a linear combination of vectors v1, v2, and v3? An example.

When is vector b a linear combination of vectors v1, v2, and v3? An example.

What is the connection between linear combinations and linear systems? Part 1

What is the connection between linear combinations and linear systems? Part 1

How to multiply matrices

How to multiply matrices

Why transpose a matrix? Part 5: how to "symmetrize" a matrix.

Why transpose a matrix? Part 5: how to "symmetrize" a matrix.

Why transpose a matrix? Part 4: unitary matrices, matrices that preserve the length of a vector.

Why transpose a matrix? Part 4: unitary matrices, matrices that preserve the length of a vector.

Why transpose a matrix? Part 3: scalar products

Why transpose a matrix? Part 3: scalar products

Why transpose a matrix? Part 2: symmetric matrices

Why transpose a matrix? Part 2: symmetric matrices

Why transpose a matrix? Part 1: the transpose of a transpose

Why transpose a matrix? Part 1: the transpose of a transpose

What is the "span" of a set of vectors?

What is the "span" of a set of vectors?

What Is A Vector?

What Is A Vector?

What is a linear combination?

What is a linear combination?

What Is A Matrix? Example: adjacency matrix of a social network.

What Is A Matrix? Example: adjacency matrix of a social network.