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What are the differences between an idempotent matrix and a generalized inverse of a matrix?
Wiki User
∙ 13y ago
Idempotent Matrix:
An idempotent matrix, A, is the specific periodic matrix (see note) where k=1, thus having the property A2=A (we can also say A.A=A).
Inverse Matrix:
Given a square matrix, A, its inverse is B if AB=BA.
Note:
A periodic matrix, A, has the property Ak+1=A where k is a positive integer. If k is the least positive integer for which Ak+1=A, then A is said to be of period k.
Wiki User
∙ 13y ago
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