For more info on the Julia Programming Language, follow us on Twitter: https://twitter.com/JuliaLanguage Contents 00:00 Introduction: Understanding data 00:40 Rank of a matrix 03:58 Matrix rank 05:10 Effect of noise 05:45 From images to data 11:15 Measuring data cloud "size" – using statistics 16:50 Measuring a "width" of a data set 20:55 Root-mean-square distance: Standard deviation 25:54 Correlated data 26:55 Rotating the axes 28:15 Rotating the data 35:40 Higher dimensions 37:15 What is the Singular-Value Decomposition (SVD)? 50:15 Rotations in 300 dimensions S/O to https://github.com/r2cp for the video timestamps! Want to help add timestamps to our YouTube videos to help with discoverability? Find out more here: https://github.com/JuliaCommunity/YouTubeVideoTimestamps Interested in improving the auto generated captions? Get involved here: https://github.com/JuliaCommunity/YouTubeVideoSubtitles