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Multiplication of 2 X 2 matrices is commutative?
Sometimes . . A+
What are multiplication properties?
The answer depends on the context. For example, multiplication of numbers is commutative (A*B = B*A) but multiplication of matrices is not.
What property is illustrated by this problem 7x8 equals 8x7?
The Abelian or commutative property of the multiplication of numbers. It is important that both "multiplication" and "numbers" feature in the answer. Because, it is applicable to multiplication but not, for example, for division. It is applicable for the multiplication on numbers but not matrices.
Are there Exceptions to the commutative property?
The commutative property works for adding and multiplying e.g. 2+4=4+2 and 3x4=4x3. But it doesn't work for subtraction and division so 5-3≠3-5 and 6÷2≠2÷6 so subtraction and division could be considered as exceptions.
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.
