Some properties of n x n generalized idempotent matrices with entries 1 and -1 satisfying m2 = m m (1 ≤ m ≤ n)

International Journal of Development Research

Volume: 
7
Article ID: 
10968
8 pages
Research Article

Some properties of n x n generalized idempotent matrices with entries 1 and -1 satisfying m2 = m m (1 ≤ m ≤ n)

Dr. Bakshi Om Prakash Sinha, Dr. Narendra Prasad and Dr. Rajesh Kumar Upadhaya

Abstract: 

In this paper n x n generalized idempotent matrix M is defined with entries 1, -1 satisfying M2 = mM (1 ≤ m ≤ n) with examples. It is a quite new concept. We have discussed its properties that the Kronecker product of two generalized idempotent matrices is also a generalized idempotent matrix. Also if a n x n matrices M with entries 1 and -1 satisfies M2 = m M ( 1 ≤ m ≤ n ) then the column of matrix M are eigen vector corresponding to eigen values of M.

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