Calculating the kernel of a matrix - An example
📝 Find more here: https://tbsom.de/s/ov
👍 Support the channel on Steady: https://steadyhq.com/en/brightsideofm...
Other possibilities here: https://tbsom.de/sp
You can also support me via PayPal: https://paypal.me/brightmaths
Or via Ko-fi: https://ko-fi.com/thebrightsideofmath...
Or via Patreon: / bsom
Or via other methods: https://thebrightsideofmathematics.co...
Join this channel on YouTube: / @brightsideofmaths
💬 Access to the community forum: https://thebrightsideofmathematics.co...
🕚 Early access for videos: https://thebrightsideofmathematics.co...
❓ FAQ: https://thebrightsideofmathematics.co...
🛠️ What tools do you use: https://thebrightsideofmathematics.co...
📚 Download my books: https://thebrightsideofmathematics.co...
Please consider to support me if this video was helpful such that I can continue to produce them :)
Each supporter gets access to the additional material. If you need more information, just send me an email: https://tbsom.de/s/mail
Watch the whole video series about Linear Algebra and download PDF versions, quizzes and exercises: https://tbsom.de/s/la
Supporting me via Steady is the best option for me and you. Please consider choosing a supporter package here: https://tbsom.de/s/subscribe
🌙 There is also a dark mode version of this video: • Calculating the kernel of a matrix - ...
🔆 There is also a bright mode version of this video: • Calculating the kernel of a matrix - ...
🙏 Thanks to all supporters! They are mentioned in the credits of the video :)
This is my video series about Linear Algebra. We talk about matrices, linear maps, eigenvalues, eigenvectors, basis, linear span, linear independent sets, and a lot more. I hope that it will help everyone who wants to learn about it.
x
00:00 Introduction
00:08 Example with a 3x4 matrix
00:32 Definition of the kernel
01:53 Row operations don't change the kernel
03:10 Creating zeros in second column
03:54 Row echelon form
04:45 Stating equation with variables
05:36 Backwards substitution
06:50 Solution set
07:45 Rewriting solution set as a span
08:30 Basis of the kernel
#LinearAlgebra
#Vectors
#Matrices
#MachineLearning
#Eigenvalues
#Calculus
#Mathematics
(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)
For questions, you can contact me: https://steadyhq.com/en/backend/messa...
Смотрите видео Calculating the kernel of a matrix - An example онлайн без регистрации, длительностью часов минут секунд в хорошем качестве. Это видео добавил пользователь The Bright Side of Mathematics 04 Декабрь 2017, не забудьте поделиться им ссылкой с друзьями и знакомыми, на нашем сайте его посмотрели 244,176 раз и оно понравилось 2.8 тысяч людям.