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Friends!
Is there anything wrong in the statement"A null matrix is idempotent".
Is there anything wrong in the statement"A null matrix is idempotent".
What do you think? How is the term "idempotent" defined?Friends!
Is there anything wrong in the statement"A null matrix is idempotent".
Any square zero matrix A is idempotent, since A^{2} = A. So, in regard to your question in the first post, not all zero matrices are idempotent, since A^{2} might not be defined. For example,A square equal A. So if A is zero matrix then it satsfies this condition.
I'm not sure what you're trying to say here. Writing an equation would make it clearer.Thank You.Doubt had arisen while showing B square not equal to I to be not always true when given B equal I minus A and A is idempotent.
Like I said in my previous post, this is easy to do.I needed to show that( B squarenot equai to I) is not always true.
You're welcome!Thank You Mark44 for the valuable help and suggestions!