Explore BrainMass

The null and inverse vectors

Consider the set of all entries (a,b,c) where the entries are real numbers.
Addition is defined as:

(a,b,c)+(d,e,f) = (a+d,b+e, c+f)

Scalar multiplication is defined as:

x(a,b,c) = (xa,xb,xc)

Write down the null vector and inverse of (a,b,c).
show that the vectors (a,b,c) do not form a vector space.


Solution Preview

Hello and thank you for posting your question to Brainmass!

The solution is ...

Solution Summary

the solution shows how to find the null and inverse vectors using the basic deifinitions.
In addition, we see what is one of the conditions to form a sub-space