Cours math sup, math spé, BCPST.
The French University (engineering) 1st & 2nd year Prépa Math: “Vector Space” (向量空间), aka Linear Algebra (线性代数), used in Google Search Engine. The French treats the subject abstractly, very theoretical, while the USA and UK (except Math majors) are more applied (directly using matrices).
Note: First year French (Engineering) University “Classe Prépa”: Math Sup (superior); 2nd year Math Spéc (special).
Applications Lineaires (Linear Algebra):