{
  "id": 1523095,
  "title": "Linear algebra done right",
  "url": "https://urgent.news/2026/08/17/linear-algebra-done-right",
  "topic": "science",
  "section": "Science",
  "published": "2026-08-17T05:21:34.000Z",
  "source": {
    "name": "Hacker News Best",
    "slug": "hacker-news-best",
    "url": "https://linear.axler.net/"
  },
  "original_language": "en",
  "account": "The fourth edition of Linear Algebra Done Right is an open access textbook available in English, Chinese, Farsi, Greek, and Portuguese. It includes over 250 new exercises, 70 new examples, and multiple improvements. The book focuses on understanding the structure of linear operators on finite-dimensional vector spaces, rather than determinants. It starts by discussing vector spaces, linear independence, span, basis, and dimension, before moving on to linear maps, eigenvalues, eigenvectors, inner product spaces, spectral theorem, generalized eigenvectors, and determinants via alternating multilinear forms. Reviews praise its didactic mastery, elegant determinant-free proofs, and clarity. The author, Sheldon Axler, has received the Lester R. Ford Award for his paper Down with Determinants! The book is suitable for undergraduate math majors and graduate students, and a hardcover print version is available from Amazon.",
  "summary": "Article URL: https://linear.axler.net/ Comments URL: https://news.ycombinator.com/item?id=49326816 Points: 198 # Comments: 72",
  "key_points": [],
  "editors_take": null,
  "illustration": null,
  "coverage": {
    "outlets": 1,
    "also_reported_by": []
  },
  "ai_generated": true,
  "disclaimer": "Summaries, key points and the editor’s take are written by software from other outlets’ reporting and may contain errors — always check the linked original."
}