Equivalent Conditions for m Times Idempotent Matrices

Yizhi Chen · Shuxue de shijian yu renshi · 2011

In this paper,some equivalent conditions for m(m≥2) times idempotent matrices are given by using rank of matrices and dimensions of solution spaces of homogeneous linear systems.Consequently,the results as m=2 and m=3 are generalized.Also,the corresponding results are generalized to m times idempotent linear transformations.

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