give an example of a set that is not closed with multiplication. provide a counter example proving that the set is not closed.
i give medals!!!

Question

give an example of a set that is not closed with multiplication. provide a counter example proving that the set is not closed.
i give medals!!!

anonymous · Answer

@Yuba @Destinycholie @One098 can you guys help???

destinycholie · Answer

A set is closed under (scalar) multiplication if the product of any member and a scalar is also in the set. In other words, if x is in S and a is any scalar then ax will be in the set if the set is closed under scalar multiplication. For example, the set of 2 x 2 diagonal matrices is closed under scalar multiplication.

anonymous · Answer

thank you sooo much!!! :)