Exercise-1

LADR

Exercise 1

Prove that \(-(-v) = v\) for every \(v \in V\).

Solution

We know that \(-v = (-1)v\). Therefore:

\[ -(-v) = (-1)(-v) = (-1)(-1)v = v \]

Footnotes

  1. Exercise-1, Exercises 1B, Page-16, Linear Algebra Done Right, Fourth Edition, Sheldon Axler↩︎