On the set AxA A54321012345 define abpq to mean a2b2p2q2 Fin

On the set AxA, A={-5,-4,-3,-2.-1,0,1,2,3,4,5} define (a,b)~(p,q) to mean a^2+b^2=p^2+q^2. Find a ~ equivalence class in AxA with 12 elements

{(0,0),(1,1),(2,2),(3,3),(4,4),(5,5),(1,2),(2,1),(1,3),(3,4),(1,4),(-2,-2)}

is a equivalence class

it satisfies

1)reflexive property

2)symmetric property

3)transitive property

$On the set AxA, A={-5,-4,-3,-2.-1,0,1,2,3,4,5} define (a,b)~(p,q) to mean a^2+b^2=p^2+q^2. Find a ~ equivalence class in AxA with 12 elementsSolution {(0,0),(1,$

On the set AxA A54321012345 define abpq to mean a2b2p2q2 Fin

Solution

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