Show that the set of all real two-rowed square matrices form a vector space $X$. What is the zero vector? what is a basis? find $\dim X$. Give examples of subspaces of $X$. Do the symmetric matrices $x \in X$ form a subspace? the singular matrices?
I don't understand what the question means by two-rowed square matrices... Do they mean all $2 \times 2$ matrices ?