5. Consider the problem y - h(x1, x2) = X1X2 of multiplying two nonzero real numbers. On a computer the algorithm for approximating the product is ya = h A(x1, x2) = fl(xi) o f(x2), where O is the inexact floating point multiplication. Show that the algorithm is backwards stable. That is, show hA(21,22) = h(x1+821,12 + 8x2), where 821/21] = O(Emach) and (822/321 = O(Emach). Is the perturbation of the inputs unique? 5. Consider the problem y - h(x1, x2) = X1X2 of multiplying two nonzero real numbers. On a computer the algorithm for approximating the product is ya = h A(x1, x2) = fl(xi) o f(x2), where O is the inexact floating point multiplication. Show that the algorithm is backwards stable. That is, show hA(21,22) = h(x1+821,12 + 8x2), where 821/21] = O(Emach) and (822/321 = O(Emach). Is the perturbation of the inputs unique