Calculating dimension and basis of range and kernel

preview_player
Показать описание


Official supporters in this month:
- Petar Djurkovic
- Lukas Mührke

Here, I explain the typical calculation scheme for getting dimension and basis for the image/range and nullspace/kernel for a given matrix.

I hope that this helps students, pupils and others.

(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
  1. The Bright Side of Mathematics
  2. Mathematics (Field Of Study)
  3. Mathematik
  4. Normed Space
  5. Analysis
  6. Linear Algebra
Рекомендации по теме
Basis and Dimension 0:10:06

Basis and Dimension

Calculating dimension and 0:13:32

Calculating dimension and basis of range and kernel

Basis and dimension 0:06:20

Basis and dimension

Dimension and Basis 0:04:02

Dimension and Basis of Vectors | How to find Basis and Dimension of a Vector Space (with example)

Basis and Dimension 0:08:10

Basis and Dimension

Independence, Basis, and 0:13:20

Independence, Basis, and Dimension

Dimension and basis 0:04:21

Dimension and basis for solution space of a homogeneous system of equations Example 1

Find a basis 0:05:01

Find a basis and dimension of H

Creating a One-Dimensional 0:00:48

Creating a One-Dimensional Light Gas: Quantum Optics and Condensed Matter #shorts

Basis and Dimension 0:03:42

Basis and Dimension of Vector Space Spanned by Vectors Example 1

Linear Algebra 05: 0:04:48

Linear Algebra 05: Basis and Dimension (Ch2 Pr3)

Basis and dimension 0:04:25

Basis and dimension example

Dimension and basis 0:05:16

Dimension and basis for solution space of a homogeneous system of equations Example 2

Dimension and basis 0:06:45

Dimension and basis in Vector Space

Linear Algebra: finding 0:04:22

Linear Algebra: finding a basis and dimension of a subspace example

Basis and Dimension 0:21:01

Basis and Dimension for Symmetric Matrices of Order n. Precise as well as Shortcut proof!

The basis and 0:05:13

The basis and dimension of a subspace. Vector spaces

Linear Algebra Example 0:03:45

Linear Algebra Example Problems - Matrix Row Space Basis and Dimension

Span, basis and 0:10:34

Span, basis and dimension | Lecture 18 | Matrix Algebra for Engineers

Finding basis and 0:08:42

Finding basis and dimension of subspaces|Linear Algebra|Vector spaces

Vector Subspace | 0:15:58

Vector Subspace | Basis & Dimension | Examples Of Basis | Linear Algebra

Vector Subspace | 0:04:32

Vector Subspace | Basis & Dimension | Examples Of Basis | Linear Algebra | Engineering mathemati...

Basis and Dimension 0:37:38

Basis and Dimension - Section 3.4

Basis and Dimension 0:11:02

Basis and Dimension Problem

Комментарии
Автор

Thank you for saving my educational life!

butterflyfilms
Автор

Best video tackling image and kernel, thank you a lot!

khaleda.s
Автор

This was helpful, thank you. My professor prefers to not give us simple tips like this for some odd reason.

fubarace
Автор

The first part of explanation is awesome.
But I didn't understand the range part well since it includes some theory part.
I hope in the next video I could understand more about range

shilpar
Автор

Basis of range and kernel? More like "Beautiful description for all!" Thanks for making such high-quality lectures.

PunmasterSTP
Автор

When dimension of kernel will be zero and how it can be seen in matrix

mubasharmushtaq
Автор

Great explanation, i have a question for the range, you just need to take 2 linearly independent vectors doesnt matter which duo in this case, you took 1st and 3rd, but u can take 2nd and 4th for the range T basis, as they are independent too right?I guess yes.

horemopik
Автор

Hello thanks for the video.May I know if we want to obtain Range(A), whether we could use expression Range(A)=Span{[2, 4, 8]^T, [3, 1, 7]^T}?

lancelofjohn