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中文摘要：
讨论四元数斜幂等阵线性组合的对角化问题,指出可中心对角化的四元数矩阵可表示为斜幂等阵的线性组合,构造四元数斜幂等阵相似于对角阵的相似变换矩阵.
英文摘要：
The problem of diagonalization of linear combinations of quaternion skew-idempotent matrices was investigated.It was pointed out that the quaternion matrices which could be diagonalized,could be expressed as linear combinations of quaternion skew-idempotent matrices.And a similarity transformation matrix was constructed for the similarity transformation of quaternion skew-idempotent matrices to diagonal matrices.
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