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A square matrix A is idempotent if A^2 = A. It's really simple

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Q: What is the definition of an idempotent matrix?
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What is an idempotent give examples of idempotent matrix.?

An idempotent is a matrix whose square is itself. Specifically, A^{2}=A. For example the 2x2 matrix A= 1 1 0 0 is idempotent.


What is an idempotent give examples of idempotent matrix?

An idempotent is a matrix whose square is itself. Specifically, A^{2}=A. For example the 2x2 matrix A= 1 1 0 0 is idempotent.


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.


Is idempotent matrix a square matrix?

A square matrix K is said to be idempotent if K2=K.So yes K is a square matrix


What is the determinant of an idempotent matrix?

0 or 1


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


What is the Square root of a matrix?

The idempotent matrix is also called square root of a matrix. i.e.)A2=A


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.


Is a singular matrix an indempotent matrix?

A singular matrix is a matrix that is not invertible. If a matrix is not invertible, then:• The determinant of the matrix is 0.• Any matrix multiplied by that matrix doesn't give the identity matrix.There are a lot of examples in which a singular matrix is an idempotent matrix. For instance:M =[1 1][0 0]Take the product of two M's to get the same M, the given!M x M = MSo yes, SOME singular matrices are idempotent matrices! How? Let's take a 2 by 2 identity matrix for instance.I =[1 0][0 1]I x I = I obviously.Then, that nonsingular matrix is also idempotent!Hope this helps!


Example for idempotent matrix?

1 0 0 0 1 0 0 0 1


Why the histogram equalization operation is idempotent?

yes,the histogram equalization operation is idempotent