Matrix ring
= Matrix ring
{wiki=Matrix_ring}
A matrix ring is a specific type of ring constructed from matrices over a ring. Formally, if \\( R \\) is a ring (which can be, for example, a field or another ring), then the set of \\( n \\times n \\) matrices with entries from \\( R \\) forms a ring, denoted by \\( M_n(R) \\). The operations defined in this ring are matrix addition and matrix multiplication.