<prompt> Tafuta matrix ambayo inalingana na kuonyesha kwenye vekta beginpmatrix 1 7 endpmatrix.  <response>: Kutoka kwa fomula ya makadirio, makadirio ya anzapmatrix x y endpmatrix kwenye beginpmatrix 1 7 endpmatrix nianzaalignjina la operetaproj_anzapmatrix 1 7 mwishopmatrix anzapmatrix x y mwishopmatrix fracanzapmatrix x y mwishopmatrix cdot anzapmatrix 1 7 mwishopmatrixanzapmatrix 1 7 mwishopmatrix cdot anzapmatrix 1 7 mwisho pmatrix anzapmatrix 1 7 mwishopmmatrix fracx 7y50 anzapmatrix 1 7 mwishopmatrix anzapmatrix fracx 7y50 frac7x 49y50 endpmatrix.endalignIli kupata matrix ya makadirio, tunaandika vekta hii kama bidhaa ya matrix na vekta beginpmatrix x y endpmatrix:anzapmatrix fracx 7y50 frac7x 49y50 endpmatrix anzapmatrix 150 750 7 50 4950 mwishopmatrix anzapmatrix x y mwishopmatrix.Kwa hivyo, matrix ya mageuzi haya ni beginpmatrix 150 750 750 4950 mwishopmatrix. 