有关幂等变换的相关结论

The Related Conclusion of Idempotent Transformation

无论是从理论上还是从应用上来看,幂等变换是重要的线性变换.有关幂等变换的结论常见于各种教材和习题中,尤其在研究生入学考试试题中.文章给出了四个幂等变换的相关结论:幂等变换与线性变换的像和核、与射影变换,幂等变换与可逆线性变换,以及幂等变换的应用—利用幂等变换证明幂等变换.

Seen either from the theory or from the application,idempotent transformation is of great importance in linear transformation.The relevant conclusions of idempotent transformation scatter out all kinds of textbooks and exercises,especially in graduate entrance exams.The paper presents four relevant conclusions of idempotent transformation: idempotent transformation with the image of linear transformation,the nuclear of linear transformation,and projective transformation,invertible linear transformation,as well as the application of idempotent transformation-using one idempotent to demonstrate another.