二阶方阵的平方根解法探究

Research on solving square root of second-order square matrix

利用Hamilton-Cayley定理确定二阶方阵全部平方根的表达式,并且明确二阶方阵在什么条件下有平方根、有多少个平方根。

We use Hamilton-Cayley Theorem to obtain an expression for all the square roots of the second-order square martix.Furthermore,we indicate that under what conditions second-order square matrix has its square roots,and how many square roots it has.