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What is idempotent matrix?
An idempotent matrix is a matrix which gives the same matrix if we multiply with the same. in simple words,square of the matrix is equal to the same matrix. if M is our matrix,then MM=M. then M is a idempotent matrix.
What is the definition of an idempotent matrix?
A square matrix A is idempotent if A^2 = A. It's really simple
Is an invertible idempotent matrix the identity matrix?
The assertion is true. Let A be an idempotent matrix. Then we have A.A=A. Since A is invertible, multiplying A-1 to both sides of the equality, we get A = I. Q. E. D
Define an indempotent matrix?
The phrase "idempotent matrix" is an algebraic term. It is defined as a matrix that equals itself when multiplied by itself.
What are the differences between an idempotent matrix and a generalized inverse of a matrix?
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.
