Determine whether or not each of the definition of given below gives

1.	Determine whether or not each of the definition of given below gives a binary operation. In the event that * is not a binary operation, give justification for this. (i) On Z+, define * by a * b = a − b (ii) On Z+, define * by a * b = ab (iii) On R, define * by a * b = ab2 (iv) On Z+, define * by a * b = \|a − b\| (v) On Z+, define * by a * b = a
Answer» Determine whether or not each of the definition of given below gives a binary operation. In the event that * is not a binary operation, give justification for this. (i) On Z⁺, define * by a * b = a − b (ii) On Z⁺, define * by a * b = ab (iii) On R, define * by a * b = ab² (iv) On Z⁺, define * by a * b = \|a − b\| (v) On Z⁺, define * by a * b = a

Determine whether or not each of the definition of given below gives a binary operation. In the event that * is not a binary operation, give justification for this. (i) On Z+, define * by a * b = a − b (ii) On Z+, define * by a * b = ab (iii) On R, define * by a * b = ab2 (iv) On Z+, define * by a * b = |a − b| (v) On Z+, define * by a * b = a

Answer»

Determine
whether or not each of the definition of given below gives a binary
operation. In the event that * is not a binary operation, give
justification for this.

(i) On
Z⁺,
define * by a *
b =
a −
b

(ii) On
Z⁺,
define *
by a *
b =
ab

(iii) On
R,
define *
by a *
b =
ab²

(iv) On
Z⁺,
define *
by a *
b =
|a −
b|

(v) On
Z⁺,
define *
by a *
b =
a

Discussion

No Comment Found

Related InterviewSolutions

The number of ways of choosing 2 cards from a pack of 52 where atleast one face card is choosen
Let P(3,3) be a point on the hyperbola, x2a2−y2b2=1. If the normal to it at P intersects the x−axis at (9,0) and e is its eccentricity, then the ordered pair (a2,e2) is equal to
P speaks truth in 75% cases while Q in 90%.in what % r they likely to contradict each other in stating the same fact .? Do u think B is true Do
If f(x) has the second order derivative at x = c such that f '(c) = 0 and f ''(c) > 0, then c is a point of _______________.
An A.P. consists of 43 terms, if the sum of five middle-most terms is 195, then the sum of the A.P. is
Find the angle between two vectors a and b with magnitudes √3 and 2 respectively, having a.b=√6
If y={x}[x], then 3∫0y dx is equal to,where {.} and [.] are fractional part function and greatest integer function respectively.
The graph of f(x)=−|log(x−3)|+3 will be
1∫0ex⋅x(1+x)2dx is equal to
What is a set and list all formulas of set.

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment