Consider the linear operator or Il.1 represented by the matrix 4 -1 4 [1' 1 1 2 tht' {Ii-Mi:- [a} Show that this operator is not diagonalizable. {b} Find a basis for H.'1 so that relative to this basis1 the matrix of the operator is lower triangular. {o} I: for extra credit points] . Find a basis for H.\"1 so that relative to this basis, the matrix of the operator has zeros in all entries except possibly.r on the diagonal and the subdiagonal, and that furthermore, the only entries on the subdiagonal are either [1 or 1