sing the situation over a field F, where every nonzero element is invertible.[43] Matrices over superrings are called supermatrices.[44]Matrices do not always have all their entries in the same ring – or even in any ring at all. One special but common case is block matrices, which may be considered as matrices whose entries themselves are matrices. The entries need not be quadratic matrices, and thus need not be members of any ordinary ring; but their sizes must fulfil certain compatibility conditions.රේඛීය සිතියම් වලට ඇති සබැඳියාව[සංස්කරණය]Linear maps Rn → Rm are equivalent to m-by-n matrices, as described above. More generally, any linear map f: V → W between finite-dimensional vector spaces can be described by a matrix A = (aij), after choosing bases v1, ..., vn of V, and w1, ..., wm of W (so n is the dimension of V and m is the dimension of W), which is such thatf(vj)=∑i=1mai,jwifor j=1,…,n.{\displaystyle f(\mathbf {v