Abstract: In this paper, we proved that C_n×n can be embedded in R_2n×2n。Matrix(_-B^A _A^B) is similar to matrix (₀^A+iB _A-iB⁰). Here C_n×n is the ring of n×n complex matrices, and R2n×2n is the ring of 2n×2n real matrices. A and B are n×n real matrices, i=√-1 is imaginary unit.

摘要： 本文证明了C_n×n能够嵌入R_2n×2n,矩阵(_-B^A _A^B)与矩阵(₀^A+iB _A-iB⁰)相似。此处C_n×n是n×n复数矩阵所成的环,R_2n×2n是2n×2n实数矩阵所成的环。A,B为n×n实数矩阵,i=√-1为虚单位。