Which statement is correct about matrix multiplication for square matrices? A) It satisfies the associative and commutative properties, but not the distributive property. B) It satisfies the associative and distributive properties, but not the commutative property. C) It satisfies the commutative property, but not the associative and distributive properties. D) It satisfies the distributive property, but not the associative and commutative properties.

Checking the existence conditions for the multiplication of matrices, the following properties are valid:

1- associative: [tex](A*B)* C = A*(B*C) [/tex]

2- distributive in relation to addition: [tex]A*(B + C) = A*B + A*C\:\:or\:\:(A + B)*C = A*C + B*C [/tex]

3- neutral element: [tex]A*I_{n} = I_{n}*A = A[/tex], where [tex]I_{n}[/tex] is the identity matrix of order [tex]n[/tex]   
p.s:. For the multiplication of matrices is not worth the commutative property.

Therefore: 
Answer B) It satisfies the associative and distributive properties, but not the commutative property.