Essential Matrix Algebra for Neural Networks, Clearly Explained!!!

Although you don't need to know matrix algebra to understand the ideas behind neural networks, if you want to code them or read the latest manuscripts about the field, then you'll need to understand matrix algebra. This video teaches the essential topics in matrix algebra and shows how a neural network can be written as a matrix equation, and then shows how understand PyTorch documentation, error messages and the equations for Attention, which is the fundamental concept behind ChatGPT. Note: If you want to learn more about neural networks... https://youtu.be/CqOfi41LfDw ...backpropagation... https://youtu.be/IN2XmBhILt4 ...the ReLU activation function... https://youtu.be/68BZ5f7P94E ...tensors... https://youtu.be/L35fFDpwIM4 ...SoftMax... https://youtu.be/KpKog-L9veg ...Transformers and Attention... https://youtu.be/zxQyTK8quyY For a complete index of all the StatQuest videos, check out: https://statquest.org/video-index/ If you'd like to support StatQuest, please consider... Patreon: https://www.patreon.com/statquest ...or... YouTube Membership: https://www.youtube.com/channel/UCtYLUTtgS3k1Fg4y5tAhLbw/join ...buying one of my books, a study guide, a t-shirt or hoodie, or a song from the StatQuest store... https://statquest.org/statquest-store/ ...or just donating to StatQuest! https://www.paypal.me/statquest Lastly, if you want to keep up with me as I research and create new StatQuests, follow me on twitter: https://twitter.com/joshuastarmer 0:00 Awesome song and introduction 2:35 Introduction to linear transformations 5:57 Linear transformations in matrix notation 7:34 Matrix multiplication 11:03 Matrix multiplication consolidates a sequence of linear transformations 13: 46 Order matters for matrix multiplication 15:18 Transposing a matrix 16:37 Matrix notation and equations 18:51 Using matrix equations to describe a neural network 24:26 nn.Linear() documentation explained 26:38 1-D vs 2-D error messages explained 27:17 The matrix equation for Attention ex