高次伴随矩形的求法及其特征根

由数域F上任意n阶矩阵A可得一个伴随矩阵A（或记为（A）),我们称A为A的一次伴随，对A来讲又有伴矩阵A，称为A的二次伴随。一般地，一个n阶矩阵A有任意m次伴随，为了书写方便，我们把A的m次伴随记为A^(m)（相应地A记为A^(2)）。对于二次以上（包括二次）的伴随矩阵，我们统称为高次伴随矩阵。本给出求高次伴随矩阵及其特征根的公式。

The Way to Computer Higher Degree Adjoint Matrixand its Latent Roots

Abstract:We could get an adjoint matrix A, (or(A)~ ), according to a random the nth matrixA, on field F, which we called it the once concomitance for A, there is an adjoint matrix A forA,which is called the twice concomitance for A. In the general, there are random m timesconcomitance for the nth matrix A, for writing convenience, we write m times concomitancefor A as A~(m), (ie A as A~(2). )We called them higher degree adjoint for more than two times(including two times). This paper introduced the ways how to compute higher degree adjointmatrix arid the formula of its latent roots.