Question

3.2) let S={(a+b,-a,-b) : a,b element of R} and T={(x,2y,-y,-x) : x,y element of R}.
3.2.1 Show that S and T are subspaces of R^4
3.2.2 Find the dimension of S and T
3.2.3 Find S intersect T and hence a basis and the dimension of S intersect T