Define \( * \) on \( Z \) by \( a * b=a+b-a b \). Show that \( * \)...

Channel:
PW Solutions
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=_CMl3wIjBrs


Duration: 0:00
9 views
0

Define \( * \) on \( Z \) by \( a * b=a+b-a b \).
Show that \( * \) is a binary operation on \( \mathrm{Z} \) which is commutative as well as
\( \mathrm{P} \) associative.

W
πŸ“² PW App Link - https://bit.ly/YTAI_PWAP
🌐 PW Website - https://www.pw.live/



Other Videos By PW Solutions


2023-02-25Show that \( * \) on \( Z^{+} \)defined by \( a * b=|a-b| \) is not...
2023-02-25Let \( Q \) be the set of all rational numbers. Define an operation...
2023-02-25Let \( A=N \times N \). Define \( * \) on \( A \) by \( \mathrm{P} ...
2023-02-25Let \( Q \) be the set of all rational numbers. Define an operation...
2023-02-25Let \( Q \) be the set of all rational numbers. Define an operation...
2023-02-25Let \( Q^{+} \)be the set of all positive rational numbers. Show th...
2023-02-25Let \( Q^{+} \)be the set of all positive rational numbers. \( \mat...
2023-02-25Consider a binary operation on \( Q-\{1\} \), defined by P \( a * b...
2023-02-25Let \( Q \) be the set of all rational numbers. Define an operation...
2023-02-25Let \( Q_{0} \) be the set of all nonzero rational numbers. Let \( ...
2023-02-25Define \( * \) on \( Z \) by \( a * b=a+b-a b \). Show that \( * \)...
2023-02-25Consider a binary operation on \( Q-\{1\} \), defined by P \( a * b...
2023-02-25Let \( X \) be a nonempty set and * be a binary operation on \( P(X...
2023-02-25Let \( X \) be a nonempty set and \( { }^{*} \) be a binary operati...
2023-02-25For all \( a, b \in R \), we define \( a * b=|a-b| \). \( \mathrm{P...
2023-02-25Let \( f(x)=\frac{\sin ^{-1} x}{x} \cdot \) Then, \( \operatorname{...
2023-02-25Calculate \( K_{p} \) for, \[ 1 / 2 \mathrm{~N}_{2}+3 / 2 \mathrm{H}_{2} \rightleftharpoons \mat...
2023-02-25For all \( a, b \in N \), we define \( a * b=a^{3}+b^{3} \). P Show...
2023-02-25To solve a trigonometric inequation of the type \( \sin x \geq a \)...
2023-02-25Let \( Q^{+} \)be the set of all positive rational numbers. \( \mat...
2023-02-25Show that \( * \) on \( R-\{-1\} \), defined by \( (a * b)=\frac{a}...