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Commutative Matrix If A and B are the two square matrices such that AB=BA, then A and B are called commutative matrix or simple commute.

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Anti-Commutative Matrix If A and B are the two square matrices such that AB= - BA, then A and B are called anti-commutative matrix.

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Q: Definition of commutative matrix
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Matrix multiplication is not commutative?

That is true, matrix multiplication is not commutative.


Are matrix addition and matrix multiplication commutative?

Matrix addition is commutative if the elements in the matrices are themselves commutative.Matrix multiplication is not commutative.


suppose you want to multiply matrix A and matrix B?

commutative


Example of commutative matrix?

The identity matrix, which is a square matrix with zeros everywhere except on the principal diagonal where they are all ones.


What is the definition of the commutative property of multiplication?

According to the commutative of multiplication, a*b = b*a.


What is the definition of the Commutative Property of Subtraction?

There cannot be a definition because it does not exist!


If properties of matrix addition let A B C D the m n matrix then 1 A plus B B plus A?

Yes. Matrix addition is commutative.


Why AxB is not equal to BxA?

It is so too equal! Multiplication is commutative. Unless A and B are matrices. Matrix multiplication is NOT commutative. Whether or not AxB = BxA depends upon the definition of the binary operator x [multiply] in the domain over which it is defined.


What would be the result if you add matrices B plus A instead A plus B?

It would be no different. Matrix addition is Abelian or commutative. Matrix mutiplication is not.


What is the deffinition of commutative?

Assuming you mean definition, commutative is a property of an operation such that the order of the operands does not affect the result. Thus for addition, A + B = B + A. Multiplication of numbers is also commutative but multiplication of matrices is not. Subtraction and division are not commutative.


What is the definition of involtary matrix?

Involtary Matrix A square matrix A such that A2=I or (A+I)(A-I)=0, A is called involtary matrix.


What is the definition of the Commutative Property of Addition?

Changing the order of addends does not change their sum. In symbolic form, a + b =b + a. Subtraction is not commutative .