n-Root of Matrices

Assume that A ۲ Mm(C), when C is an algebraically closed eld. Also, consider thatn is an arbitrary natural number. Here we are going to nd a matrix B ۲ Mm(C) with aconstruction method such that Bn = A.Assume that C ۲ Mm(H). Also, consider that t is an arbitrary natural number. We can nda matrix D ۲ Mm(H) such that Dt = C.

کلیدواژه ها:

Root of matrices ، Division algebra ، Field ، Radicable group.