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The Little Book of Linear Algebra

The Little Book of Linear Algebra A concise, beginner-friendly introduction to the core ideas of linear algebra. Formats Chapter 1. Vectors 1.1 Scalars and Vectors A scalar is a single numerical quantity, most often taken from the real numbers, denoted by $\mathbb{R}$ . Scalars are the fundamental building blocks of arithmetic: they can be added, subtracted, multiplied, and, except in the case of zero, divided. In linear algebra, scalars play the role of coefficients, scaling factors, and e

Show HN: I built a toy TPU that can do inference and training on the XOR problem

Nobody really understands how TPUs work…and neither do we! So we wanted to make this because we wanted to take a shot and try to guess how it works–from the perspective of complete novices! We wanted to do something very challenging to prove to ourselves that we can do anything we put our mind to. The reasoning for why we chose to build a TPU specifically is fairly simple: None of us have real professional experience in hardware design, which, in a way, made the TPU even more appealing since w

Functions Are Vectors (2023)

Functions are Vectors Conceptualizing functions as infinite-dimensional vectors lets us apply the tools of linear algebra to a vast landscape of new problems, from image and geometry processing to curve fitting, light transport, and machine learning. Prerequisites: introductory linear algebra, introductory calculus, introductory differential equations. This article received an honorable mention in 3Blue1Brown’s Summer of Math Exposition 3! Functions as Vectors Vectors are often first introd