The [[associative property]] of multiplication is different from the [[commutative property]]. For example, multiplication of matrices has the associative property but is not commutative. If <math>A</math>, <math>B</math>, and <math>C</math> are three matrices, then <math>A\times(B \times C)=(A\times B) \times C </math> but <math>A\times B \neq B \times A </math>. | The [[associative property]] of multiplication is different from the [[commutative property]]. For example, multiplication of matrices has the associative property but is not commutative. If <math>A</math>, <math>B</math>, and <math>C</math> are three matrices, then <math>A\times(B \times C)=(A\times B) \times C </math> but <math>A\times B \neq B \times A </math>. |