Where are you having diffficulties? Do you know what you should be looking at?
This is my question please give me a help to find answer
Let V be the set of ordered pairs (a, b) of real numbers. Show that V is not a vector space over
with vector addition and scalar multiplication defines by:
01. (a, b) + (c, d) = (a + c, b + d) and k(a, b) = (a, kb)
02. (a, b) + (c, d) = (a + c , b + d) and k (a, b) = (o , kb)
03. (a, b) + (c, d) = (ac, bd) and k(a, b) = (ka, kb)
In other word, for each of the three kinds of operations defined, determine whether or not they obey the requirements for a vector space:
Addition is associative and commutative, there exist an additive identity and every element has an additive inverse, scalar multiplication is associative and commutative, and scalar multiplication distributes over addition.