<prompt> Tafuta kiakisi cha anzapmatrix -2 3 endpmatrix juu ya vekta anzapmatrix 2 1 endpmatrix.  <response>: Acha mathbfv anzepmatrix -2 3 endpmatrix. Acha mathbfr iwe onyesho la mathbfv juu ya vekta anza pmatrix 2 1 endpmatrix, na acha mathbfp iwe makadirio ya mathbfv kwenye beginpmatrix 2 1 endpmatrix .Kumbuka kuwa mathbfp ndio katikati ya mathbfv na mathbfr. Kwa hivyo, tunaweza kutumia mathbfp kupata mathbfr. asyusepackageamsmath;ukubwa wa kitengo 1 cm;jozi D, P, R, V;D 2,1;V -2,3;R tafakari0,0,DV;P V R2;chora-2,0--3,0;chora0,-4--0,3;chora-D--D,Arrow6;chora0,0--V,nyekundu,Arrow6;chora0,0--R,bluu,Arrow6;chora0,0--P,kijani,Arrow6;choraV--R,iliyopigwa;lebomathbfv anzapmatrix -2 3 mwishopmatrix, V, N;leboanzapmatrix 2 1 mwishopmatrix, D, E;lebomathbfr, R, SE;lebomathbfp, P, S;asyTunaweza kuhesabu hiloanzaalignmathbfp jina la operetaproj_anzapmatrix 2 1 mwishopmatrix anzapmatrix -2 3 mwishopmatrix fracanzapmatrix -2 3 mwishopmatrix cdot anzapmatrix 2 1 mwishopmatrixanzapmatrix 2 1 mwisho pmatrix cdot anzapmatrix 2 1 mwishopmatrix anzapmatrix 2 1 mwishopmatrix frac-15 anzapmatrix 2 1 mwishopmmatrix anzapmatrix -frac25 -frac15 endpmatrix.endalignKwa kuwa mathbfp ndio kitovu cha mathbfv na mathbfr, mathbfp fracbeginpmatrix - 2 3 mwishopmatrix mathbfr2, hivyomathbfr 2 mathbfp - mathbfv 2 anzapmatrix -frac25 -frac15 mwisho pmatrix - anzapmatrix -2 3 mwishopmatrix anzapmatrix 65 -175 mwishopmatrix. 