Possible subspaces

Algebra Level 4

Let \(V\) be the vector space \(\mathbb{C}^2\), or the set of vectors with two complex number components. Which of the following, if any, are subspaces of \(V\)?

  1. The set of vectors \(\begin{pmatrix}x\\y\end{pmatrix}\) for which \(xy = 0\).
  2. The set of vectors \(\begin{pmatrix}x\\y\end{pmatrix}\) for which \(x\) and \(y\) are both integers.
×

Problem Loading...

Note Loading...

Set Loading...