Explore BrainMass

Explore BrainMass

    Linear Algebra And Differential Equations: Real Vector Space

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Determine if the given set constitutes a real vector space. The operations of "multiplication by a number" and "addition" are understood to be the usual operations associated with the elements of the set: The set of all elements of R^3 with first component 0

    © BrainMass Inc. brainmass.com December 15, 2022, 4:17 pm ad1c9bdddf

    Solution Preview

    A set V is a 'vector space'if and only if:
    There is an addition '+' in V such that V,+ is a commutative group. ...

    Solution Summary

    The solution is comprised of an explanation for real vector space.