changav36832
04.11.2020 •
Mathematics
The following table defines an operation * on the set A={a,b}
* a b
a b b
b. a a
a. find a*b,b*a,a*a
b. is*a binary operation. why?
c.As per the definition of binary operation it is a function .Write its domain and co- domain.
Please reply this as soon as possible!! I need it now
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Ответ:
(a) If I'm reading the table correctly, by definition of *, we have
a * a = b
a * b = b
b * a = a
b * b = a
(b) Yes, * is a binary operation. A binary operation is a function * that maps elements from A × A to A, where
A × A = {{a, b} | a ∈ A and b ∈ A}
In this case,
A × A = {{a, a}, {a, b}, {b, a}, {b, b}}
and * is defined such that each of these pairs gets mapped to either a or b, both elements of A. In other words, A is closed under *.
(c) The domain is A × A and the co-domain is A.
Ответ:
Step-by-step explanation:
The perimeter of a parallelogram is the sum of all sides, but this figure has two pair sides that are equal. So, from its definition we deduct that and .
So, the perimeter would be:
Therefore, the correct answer is the second option. The final expression of the perimeter cannot be added because they don't have similar roots that allow us to sum them.