Let R0 denote the set of all non-zero real numbers and let A=R0×R0 . If * is a binary operation on A defined by (a, b)⋅(c, d)=(ac, bd) for all (a, b), (c, d)∈A˙ Find the invertible element in A .

Click here to view the solution.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Let {R}_{{0}} denote the set of all non-zero real numbers and

Question

Let $R_{0}$ denote the set of all non-zero real numbers and let $A = R_{0} \times R_{0}$ . If * is a binary operation on $A$ defined by $(a, b) \cdot (c, d) = (a c, b d)$ for all $(a, b), (c, d) \in A ˙$ Find the invertible element in $A$ .

Views: 934 students

Found 5 tutors discussing this question

Evelyn Discussed

Let

R_{0}

denote the set of all non-zero real numbers and let

A = R_{0} \times R_{0}

. If * is a binary operation on

A

defined by

(a, b) \cdot (c, d) = (a c, b d)

for all

(a, b), (c, d) \in A ˙

Find the invertible element in

A

11 mins ago

Discuss this question LIVE