![SOLVED: Binary Operations Let * : N x N -> N be the binary operation: m * n = √(m^2 + n^2) Prove or disprove the following: 1. * is associative. 2. * is commutative. Proof: SOLVED: Binary Operations Let * : N x N -> N be the binary operation: m * n = √(m^2 + n^2) Prove or disprove the following: 1. * is associative. 2. * is commutative. Proof:](https://cdn.numerade.com/ask_images/c8c19f064fd94d97a544b4fdd1f39c8a.jpg)
SOLVED: Binary Operations Let * : N x N -> N be the binary operation: m * n = √(m^2 + n^2) Prove or disprove the following: 1. * is associative. 2. * is commutative. Proof:
![The number of commutative binary operations that can be defined on a set of 2 elements is ( - YouTube The number of commutative binary operations that can be defined on a set of 2 elements is ( - YouTube](https://i.ytimg.com/vi/lksaVyrPUPg/maxresdefault.jpg)
The number of commutative binary operations that can be defined on a set of 2 elements is ( - YouTube
![A binary operation is defined. Determine whether or not * is closed, commutative, associative - YouTube A binary operation is defined. Determine whether or not * is closed, commutative, associative - YouTube](https://i.ytimg.com/vi/s1WIGdWX5-E/sddefault.jpg)
A binary operation is defined. Determine whether or not * is closed, commutative, associative - YouTube
![If * be binary operation defined on R by a*b =1+ab, forall a, bin R. Then the operation * isneither commutative nor commutative. If * be binary operation defined on R by a*b =1+ab, forall a, bin R. Then the operation * isneither commutative nor commutative.](https://haygot.s3.amazonaws.com/questions/1962259_1795464_ans_890818772c31408186e9acd9a626d493.jpg)