摘要
本文考虑n阶复矩阵可嵌入到n+1阶的正规矩阵的条件.证明了n>2阶的复矩阵不一定可嵌入到n+1阶的正规矩阵,而2阶复矩阵总可嵌入到3阶正规矩阵中.
This paper considers the conditions for a complex matrix of order n to be embeddable in a normal matrix of order n+1 and proves that a complex matrix of order n>2 is not necessary embeddable in a normal matrix of order n+1 and a complex of order 2 is embeddable in a normal matrix of order 3. Furthermore, the paper Proves that any complex matrix of order n is embeddable in a normal matrix of order 2n.
出处
《工科数学》
1999年第2期160-163,共4页
Journal of Mathematics For Technology