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abstract: |
    On the set of mappings of the given set, we define the product of mappings.  If $A$ is associative algebra, then we consider the set of matrices, whose elements are linear mappings of algebra $A$.  In algebra of matrices of linear mappings we define the operation of $\RCcirc$product.  The operation is based on the product of mappings. 

    If the matrix $a$ of linear mappings has an inverse matrix, then the quasideterminant of the matrix $a$ and the inverse matrix are matrices of linear mappings.  In the paper, I consider conditions when a matrix of linear mappings has inverse matrix, as well methods of solving a system of linear equations in an associative algebra. 
title: The Matrix of Linear Mappings
---


