ELI5: linear algebra
// explanation
What is linear algebra?
Linear algebra is a type of math that studies vectors (arrows with direction and length) and matrices (grids of numbers) [3]. Think of it like learning a special language for describing how things move and transform in space [2].
Why do we need it?
Linear algebra helps us describe and solve problems involving straight lines, planes, and how shapes rotate or move [1]. It's super useful because many real-world problems, from computer graphics to building bridges, involve these kinds of patterns [5].
What kinds of things does it deal with?
Linear algebra teaches you about vectors (like arrows), matrices (like number grids), and transformations (ways to change shapes) [2]. These tools let us describe movements and changes in a clear, organized way [1].
Why is it harder than other math?
Linear algebra requires you to think more abstractly than in other math classes, meaning you're working with ideas and symbols rather than just numbers [4]. This might feel strange at first, but it's actually a skill that helps you solve complicated real-world problems [5].
// sources
Linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations.
Learn linear algebra—vectors, matrices, transformations, and more.
... Linear algebra is, in general, the study of those structures. Namely. Linear algebra is the study of vectors and linear functions. In broad terms, vectors ...
Feb 20, 2019 ... Linear algebra, even the introductory course is a little closer to pure math in the amount of abstraction you get than calculus 2 in my ...
This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines.
Video by KoothBrush
Video by Find Y
Video by Brain Station Advanced
