<prompt> Tafuta eneo la parallelogramu inayozalishwa na anzapmatrix 3 1 -2 endpmatrix na beginpmatrix 1 -3 4 endpmatrix.asyukubwa wa kitengo sentimita 0.4;jozi A, B, C, D;A 0,0;B 7,2;C 1,3;D B C;choraA--B,Arrow6;choraA--C,Arrow6;kuchoraB--D--C;asy  <response>: Kwa ujumla, eneo la parallelogram inayozalishwa na vekta mbili mathbfv na mathbfw ni.mathbfv mathbfw sin theta,ambapo theta ni pembe kati ya mathbfv na mathbfw. Huu ndio ukubwa kamili wa mathbfv nyakati mathbfw .Hivyo, eneo la parallelogram nikushoto anzapmatrix 3 1 -2 mwishopmatrix nyakati anzapmatrix 1 -3 4 mwishopmatrix kulia kushoto anzapmatrix -2 -14 -10 mwishopmmatrix kulia 10 sqrt3. 