The necessary and sufficient conditions of similarity of two idempotent matrices are proved, the idempotency of linear combinations of two idempotent matrices is discussed.
要证明了数域上两个同阶幂等阵似的充要条件是它们有同的秩;给出了幂等阵的似标准型;讨论了两个幂等阵的线组合仍是幂等阵的充要条件。
The necessary and sufficient conditions of similarity of two idempotent matrices are proved, the idempotency of linear combinations of two idempotent matrices is discussed.
要证明了数域上两个同阶幂等阵似的充要条件是它们有同的秩;给出了幂等阵的似标准型;讨论了两个幂等阵的线组合仍是幂等阵的充要条件。
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