HackerEssence of linear algebra preview
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Further reading 2
What does a matrix do, and which outputs can disappear? →Read a column as an arrow, then a matrix as an action on that arrow. Solving an equation becomes a question about reachable targets, giving collapse, eigenvectors and rotations a geometric interpretation.This video helps answer · What do the numbers in a vector describe?How can you tell a correct answer from understanding? →Ask two people to explain their reasoning, then change the presentation and ask them to reconstruct the answer. Peer instruction and geometric intuition offer different ways to expose gaps.This video helps answer · Does getting the answer mean understanding the concept?
Caption notes
Geometric intuition helps decide when to use linear algebra and interpret the result; numerical techniques do the calculation. The series aims to connect both.
Original passages · 5
the geometric understanding is what lets you judge what tools to usewe almost always get computers to handle that half,you cannot learn a full subject with a short series of videos,the geometric understanding is what lets you judgethe thinking that you do on your own time