Let T be the linear operator on R2, the matrix of which in the standard ordered basis is A = 1 -1 2 2 (a) Prove that the only subspaces of R2...

Let T be the linear operator on R2, the matrix of which in the standard ordered basis isA = –12(a) Prove that the only subspaces of R2 invariant under T are R2 and the zero subspace.(b) If U is the linear operator on C2, the matrix of which in the standard ordered basis is A, show that U has 1-dimensional invariant subspaces.