The necessary and sufficient conditions of similarity of two idempotent matrices are proved, the idempotency of linear combinations of two idempotent matrices is discussed.
摘要证明了数域上两个同阶幂等阵相似充要条件是它们有相同秩;给出了幂等阵相似标准型;讨论了两个幂等阵线性组合仍是幂等阵充要条件。
The necessary and sufficient conditions of similarity of two idempotent matrices are proved, the idempotency of linear combinations of two idempotent matrices is discussed.
摘要证明了数域上两个同阶幂等阵相似充要条件是它们有相同秩;给出了幂等阵相似标准型;讨论了两个幂等阵线性组合仍是幂等阵充要条件。
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