Cartesian product of two set by admin Cartesian product means a set consisting of all the ordered pairs (a, b) of two non empty sets A and B such that a ∈ A and b ∈ B. Cartesian product is denoted by A × B and defined as : A × B And defined as, Symbolically: A × B = { ( a, b) / a ∈ A and b ∈ B } Cartesian product Example: Let A = { 1, 4 } , B = { 3,4,6 } then A × B = { ( 1, 3) , (1,4 ) , ( 1,6) (4, 3) (4, 4) ( 4, 6) } B × A = { (3,1) , (3 ,4 ) , ( 4 ,1) (4, 4) (6, 2) ( 6, 4) } In general A × B ≠ B × A Cartesian product of single set: Let A = { 4, 8} A × A = { 4, 8} × { 4, 8} A × A = { ( 4 , 4) ,( 4 , 8) ,(8, 4) , ( 8, 8) } RELATED POST: dimensional system difference of two set Multiplicative inverse of real number singleton set has proper subset Share this:FacebookXLike this:Like Loading... Related