True or False. Justify your answer for each one by showing your supporting work or giving an appropriate explanation. If a statement is false, you may give a counterexample

part 1)

2 A = N W is orthogonal.3. (a) (6 points) Show that the space of all matrices A = a b such that a + d = 0 forms a subspace of M2x2 (the set of all 2 X 2 matrices). (b) (4 points) Find a basis of the subspace above. What is the dimension of the subspace? (Hint: Don't forget that a + d = 0!)