<prompt> Acha mathbfa anzepmatrix 2 1 5 endpmatrix. Tafuta vekta mathbfb kiasi kwamba mathbfa cdot mathbf b 11 namathbfa nyakati mathbfb anzapmatrix -13 -9 7 mwishopmatrix.  <response>: Acha mathbfb anzepmatrix x y z endpmatrix. Kisha mlinganyo mathbfa cdot mathbfb 11 inatupa 2x y 5z 11. Pia,mathbfa nyakati mathbfb anzapmatrix 2 1 5 mwishopmatrix nyakati anzapmatrix x y z mwishopmatrix anzapmatrix -5y z 5x - 2z -x 2y mwishopmatrix.Kwa kulinganisha maingizo, tunapataanzaalign-5y z -13, 5x - 2z -9, -x 2y 7.endalignKutatua mfumo huu, pamoja na equation 2x y z 5z 11, tunapata x -1, y 3, na z 2. Kwa hivyo, mathbfb anzapmatrix -1 3 2 mwishopmatrix. 