1, the content is different. Linear algebra mainly studies vector space, linear transformation, matrices and eigenvalues, emphasizing linear relations and operations, such as solving linear equations, matrix theory, eigenvalues and eigenvectors. On the basis of studying linear algebra, advanced algebra further discusses polynomial algebra, ring theory, group theory, field theory and module theory, and pays more attention to abstract concepts and theoretical research.

2. The depth and breadth are different. The content of higher algebra is more in-depth and extensive, including algebraic structure and algebraic properties, such as groups, rings and fields. Its theory and method can be applied to other fields, such as cryptography, coding theory, graph theory and so on. The theories and methods of linear algebra are mostly used in other branches of mathematics and engineering fields.

3. The difficulty is different. Higher algebra is usually more difficult than linear algebra, and the concepts and methods involved are more complex and abstract.