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Some special square matrices are defined as follows. Nilpotent matrix: A square matrix. A is said to be rilpotent (of order 2)it, A^(2)=O. A squre matrix is said to be nilpotent of order p, if p is the least positive integer such that A^(p)=O. Idempotent martrix: A square matrix A is said tto be idempotent it, A^(2)=A. e.g.[{:(,1,0),(,0,1):}] is an idempotent matrix. Involutory matrix: A square A is said to be involutnary if A^(2)=I, I being the identify matrix. e.g..A=[{:(,1,0),(,0,1):}]is an involutary matrix. Orothogonal matrix: A square matrix A is said to be an orthogonal matrix it A' A=I=A A' If A and B are two square matrices such that AB=A&BA then A&B are |
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Answer» indepotent matrices |
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