Classification of commutative subalgebras of length $n-2$ in the matrix algebra of order $n$ in the general case

In this paper, a classification of commutative subalgebras of length $n-2$ in the algebra of matrices of order $n$ in the general case over fields of sufficiently large cardinality and under the condition $n\geq 5$ is obtained. For $n=3, 4$, a classification under the additional restriction that the algebras contain a matrix of the largest possible degree, corresponding to the general case of algebras of large orders, is also obtained.