SOLUTION: 1. if A is a square matrix. What is meant by A is indepontent, nilpotent and involutory

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Question 1044262: 1. if A is a square matrix. What is meant by A is indepontent, nilpotent and involutory
Answer by ikleyn(52879) About Me  (Show Source):
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1. if A is a square matrix. What is meant by A is highlight%28cross%28indepontent%29%29 idempotent, nilpotent and involutory
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1. An idempotent matrix. See this Wikipedia article. 
    In algebra, an idempotent matrix is a matrix which, when multiplied by itself, yields itself. 
    That is, the matrix M is idempotent if and only if MM = M. For this product MM to be defined, M must necessarily be a square matrix.


2, 3. nilpotent and involutory 
See corresponding Wikipedia articles found by GOOGLE, for example.


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