<prompt> Tafuta matrix mathbfR ambayo kwa vekta yoyote mathbfv, mathbfR mathbfv ni onyesho la mathbfv kupitia xy. -ndege.  <response>: Kijiometri, tunaona hivyomathbfP mathbfi anzapmatrix 1 0 0 mwishopmatrix, quad mathbfP mathbfj anzapmatrix 0 1 0 mwishopmatrix, quad mathbfP mathbfk anzapmatrix 0 0 -1 mwishopmatrix,hivyomathbfP anzapmatrix 1 0 0 0 1 0 0 0 -1 mwishopmatrix. 