HN 精选

The determinant | Chapter 6, Essence of linear algebra

3Blue1Brown
6 人推荐 · 跨 6 个月 · 2019–2024
纯粹数学趣味与可视化数学
The determinant | Chapter 6, Essence of linear algebra

中文导读

3Blue1Brown 耗时 10 分钟的经典单集。不堆公式,而是用优雅直观的几何动画,将行列式解释为线性变换对面积或体积的缩放比例因子。

为什么 HN 推它

学习行列式几何直觉的最佳标杆,无数理工科从业者正是看了它才真正体会到“恍然大悟”的顿悟感。

「曾经对行列式很排斥,直到看了 3Blue1Brown 极其直观的几何推导,我才真正开窍并喜欢上它。」HN 网友原话:I have warmed up to determinants ever since I saw 3Blue1Brown give a fairly intuitive explanation for them
英文原摘要(HackerTube / Claude 整理)

A 10-minute 3Blue1Brown chapter explaining the determinant as the factor by which a linear transformation scales area or volume. It builds the idea geometrically with animations before any formulas.

HN repeatedly points people to it as the clearest visual intuition for determinants, often saying it finally made the concept click.

HN 上的提及

reference throwawaymath · 2019-04 · HN 原文
strong_rec Chris_Newton · 2020-07 · HN 原文
here is what a gifted presenter with the right illustrations can do in about ten minutes
strong_rec MaxBarraclough · 2020-08 · HN 原文
The 3Blue1Brown YouTube channel does a great job with this, introducing the determinant in terms of geometry.
rec JW_00000 · 2022-10 · HN 原文
I didn't intuitively understand what a determinant represented or what the determinant of a transformation being zero really meant, until watching [6].
strong_rec meken · 2023-02 · HN 原文
now my mind is absolutely blown!

相关视频