d) Consider the binary operation \( a * b=a+b-2 a b \), where \( a \) and \( b \) are real numbers. (i). Is * commutative? Justify your answer (ii) Compute \( 3^{*}\left(2^{*} 1\right) \)
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- A binary operation * is commutative if \( a * b = b * a \) for all real numbers \( a \) and \( b \). Show more…
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Let $*$ be the binary operation on $\mathbf{N}$ defined by $a * b=\mathrm{H.C.F}$. of $a$ and $b$. Is * commutative? Is * associative? Does there exist identity for this binary operation on $\mathbf{N}$ ?
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