Question: 2.43. (Sec. 2.5) Prove i = 1., .. q, k = q + 1, ... , p. where CT/q+I ..... k-l.k+I ..... p.., C1jj.q+I .....

2.43. (Sec. 2.5) Prove

Bik-q+1,...,k1,k+1.... P' ikq-k-1,k+1...., P Okk-q+1,...,k-1,k+1,....p g+1k-1,k+1.....P = Pik-q-1,...,k1, k+1... P k-q+1... k-1,

i = 1., ..• q, k = q + 1, ... , p. where CT/q+I ..... k-l.k+I ..... p.., C1jj.q+I ..... k-l.k+I ..... p. j=i.k. [Hint: Prove this for the special case k=q+l by using Problem 2.56 with PI = q. P2 = 1. P3 = P - q - 1.]

Bik-q+1,...,k1,k+1.... P' ikq-k-1,k+1...., P Okk-q+1,...,k-1,k+1,....p g+1k-1,k+1.....P = Pik-q-1,...,k1, k+1... P k-q+1... k-1, k+1,..., P

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