Prove the corollary to Theorem 6.41.Hints:(a) Prove thatBAB, =-q 0 0 -p)wherea +ba – bq =and2(b) Show that q = 0 by using the fact that BAB, is self-adjoint.(c) Apply Theorem 6.40 toto show that p = 1.Theorem 6.41. There exist nonzero scalars a and b such that(a) T;LĄT,(wi) = aw2.(b) T;LAT,(w2) = bw1.Theorem 6.40. If = 0 for some w e R4, then(TLAT,(w), w) = 0.2.