`|(1!,2!,3!),(2!,3!,4!),(3!,4!,5!)|=?`

Prove that : {:|(1!,2!,3!),(2!,3!,4!),(3!,4!,5!)]= 4!

Prove that abs[[1!,2!,3!],[2!,3!,4!],[3!,4!,5!]]=4!

Find the rank of the matrix A=[(1,2,3),(2,3,4),(3,4,5)] .

If A={1,2,3},B={3,4}and C={4,5,6}, "then prove that" (AxxB)uu(AxxC) ={(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5 ),(2,6),(3,3),(3,4),(3,5),(3,6)}

If A={1,2,3},B={3,4}and C={4,5,6}, "then prove that" (AxxB)uu(AxxC) ={(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5 ),(2,6),(3,3),(3,4),(3,5),(3,6)}

There are three relations R_(1) , R_(2) and R_(3) such that R_(1) = {(2,1),(3,1),(4,2)} , R_(2) = {(2,2),(2,4),(3,3),(4,4)} and R_(3) = {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} then

If A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}, then (A xx B) uu (A xx C) = {(1, 3), (1,4), (1,5), (1,6), (2,3), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5),(3,6)}