Math, asked by Bshra, 7 months ago

if x*y=5xy then inverse of 2 w.r.t * is​

Answers

Answered by simra4825
9

Answer:

HEY MATE HERE'S YOUR ANSWER

Step-by-step explanation:

the second one is 1/50 because 2*x = 10x and the identity is 1/5, so you want 10 2-1 = 1/5 so 2-1 = 1/50

wolframalpha is for computations, not group theory

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Answered by pinkypearl301
3

Answer:

1/50

Step-by-step explanation:

I'm assuming you're using that rule to define an operator * on a certain class of numbers, where xy on the right side represents standard multiplication of integers.

In order to define inverse in terms of an identity the conventional method, you must first identify the identity. Therefore, the first step is to identify any "e" such that, for all x, x*e = e*x = x. The inverse of 2 is then by definition (usually) any number z such that 2*z = z*2 = e.

Work with it instead if you're defining inverse in terms of cancellation, for instance so that (x*y)*y-1 = x. Find z such that for all x, (x*2)*z = x.

The second one is $1 / 50$ because $2^{*} x=10 x$ and the identity is $1 / 5$, so you want 10 2-1 $=1 / 5$so $2-1=1 / 50$.

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