5. Consider the problem y = h(11, 12) = 11:02 of multiplying two nonzero real numbers. On a computer the algorithm for approximating the product is yA = hA(11,12) = f(11) A(12), where o is the inexact floating point multiplication. Show that the algorithm is backwards stable. That is, show hA(11,12)= h(21 +821, 22 + 822), where 8x1/211 = 0(Emach) and 18.02/12] = 0(Emach). Is the perturbation of the inputs unique? 5. Consider the problem y = h(11, 12) = 11:02 of multiplying two nonzero real numbers. On a computer the algorithm for approximating the product is yA = hA(11,12) = f(11) A(12), where o is the inexact floating point multiplication. Show that the algorithm is backwards stable. That is, show hA(11,12)= h(21 +821, 22 + 822), where 8x1/211 = 0(Emach) and 18.02/12] = 0(Emach). Is the perturbation of the inputs unique