- Thread starter
- #1

- Feb 5, 2012

- 1,621

Here's a question I am stuck on. Hope you can provide some hints.

**Problem:**

Let \(U\) be a 4-dimensional subspace in the space of \(3\times 3\) matrices. Show that \(U\) contains a symmetric matrix.

- Thread starter Sudharaka
- Start date

- Thread starter
- #1

- Feb 5, 2012

- 1,621

Here's a question I am stuck on. Hope you can provide some hints.

Let \(U\) be a 4-dimensional subspace in the space of \(3\times 3\) matrices. Show that \(U\) contains a symmetric matrix.

- Jan 29, 2012

- 661

- Thread starter
- #3

- Feb 5, 2012

- 1,621

Yes indeed, it should be different from the zero matrix. Thanks very much for your reply. I understand it fully.