<prompt> Matrixbeginpmatrix a b -frac45 frac35 endpmatrixinalingana na kuakisi. Weka jozi iliyoagizwa a,b.  <response>: Acha mathbfR iwe tumbo, mathbfv iwe vekta, na mathbfr mathbfR mathbfv. Kisha mathbf R mathbfr mathbfv, ambayo ina maana mathbfR2 mathbfv mathbfv. Kwa maneno ya kijiometri, ikiwa tunaakisi vekta, na itafakari tena, kisha tunarejesha vekta sawa na ile ya asili. Kwa kuwa hii inashikilia vekta zote mathbfv,mathbfR2 mathbfI.Hapa,mathbfR2 anzapmatrix a b -frac45 frac35 endpmatrix beginpmatrix a b -frac45 frac35 endpmatrix anzapmatrix a2 - frac45 b ab frac 35 b -frac45 a - frac1225 -frac45 b frac925 end pmatrix.Kwa hivyo, -frac45 a - frac1225 0 na -frac45 b frac9101 25 1. Kutatua, tunapata a,b left -frac35, -frac45 kulia. 