MadeEasy Test Series: Set Theory & Algebra - Binary Operation

Question

Comments

is it 7?

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Yes its 7 but i m not getting the question can u please help

how to find R²  and R³

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sorry for bad picture quality

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Thanks appreciate your work. :)

Answer 1

R = {(1,1),(2,1),(3,2),(4,3)}
R²  = R * R = { (1,1), (2,1) , (3,1), (4,2) }
R^{3 =} R² * R = { (1,1), (2,1), (3,1), (4,1) }

R U R² U R³ = {(1,1), (2,1) , (3,1), (3,2), (4,1), (4,2),(4,3) }

To find the R*R search for the  terms like  (X,Y) (Y,Z)  which convert to  (X,Z).

Comments

Thanks appreciate your work. :)