Question

Determine whether the set equipped with the given operations is a vector space.

For those that are not vector spaces identify the vector space axioms that fail.

The set of all real numbers x with the standard operations of addition and multiplication.

Answer 1

A. V is not a vector space and Axiom 10 fails to hold

Answer 2

thats a vector space friend

Answer 3

B. V is a vector space

Answer 4

how do you know exactly?

Answer 5

see tell me the def of vector space first

Answer 6

collection of other vectors that can be added and multiplied by scalars

Answer 7

collection of vectors*

Answer 8

V is a vector space

Answer 9

if V={x: x in reals}

Answer 10

1 dimesional vector space (called the number line).