Abstract Vector Spaces 向量空间
Eigenvalues & Eigenvectors (valeurs propres et vecteurs propres) 特征值/特征向量
[ Note: “Eigen-” is German for Characteristic 特征.]
The Essence of Determinant (*): (行列式)
(*) Determinant was invented by the ancient Chinese Algebraists 李冶 / 朱世杰 /秦九韶 in 13th century (金 / 南宋 / 元) in《天元术》.The Japanese “和算” mathematician 关孝和 spread it further to Europe before the German mathematician Leibniz named it the “Determinant” in 18th century.
[NOTE] 金庸 武侠小说 《神雕侠女》里 元朝初年的 黄蓉 破解 大理国王妃 瑛姑 苦思不解的 “行列式”, 大概是求 eigenvalues & eigenvectors ? 🙂