<prompt> Acha a,b,c,p,q, na r ziwe nambari halisi hivyoanzavmatrix p b c a q c a b r endvmatrix 0.Ikizingatiwa kuwa a neq p, b neq q , na c neq r, pata thamani ya fracpp - a fracqq - b fracrr - c.  <response>: Kupanua kibainishi, tunapataanzaalignanzavmatrix p b c a q c a b r mwishovmatrix p anzavmatrix q c b r mwishovmatrix - b anzavmatrix a c a r mwishovmatrix c anzavmatrix a q a b mwishovmatrix pqr - bc - bar - ac cab - aq pqr - bpc - abr abc abc - acq 2abc - abr - acq - bcp pqr.mwishoalignHebu x p - a, y q - b, na z r - c. Kisha p a x, q b y, na r c z. Kubadilisha, tunapata2abc - abc z - acb y - bca x a xb yc z 0.Hii hurahisisha ayz bxz cxy xyz 0.Kishaanzaalignfracpp - a fracqq - b fracrr - c fraca xx fracb yy fracc zz fracax 1 fracby 1 fraccz 1 fracax fracby fraccz 3 fracayz bxz cxyxyz 3 frac-xyzxyz 3 2.mwishopanga 