Homework Statement
Consider the subspace $$W:=\Bigl \{ \begin{bmatrix}
a & b \\
b & a \end{bmatrix} : a,b \in \mathbb{R}\Bigr \}$$ of $$\mathbb{M}^2(\mathbb{R}). $$
I have a few questions about how this can be decomposed.
1) Is there a subspace $$V$$ of...