If one uses the method of artificial variables in a problem without solution, this non-existence will become apparent by the fact that one cannot get rid of the artificial variable. Illustrate this by trying to maximize f = 2x1 + x2 subject to x1 > 0, x2 > 0, 2x1 + x2 < 2, x1 + 2x2 > 6, x1 + x2 < 4.
Answer to relevant QuestionsIn Prob. 8 start from x0 = [1.5 1] T, show that the next even-numbered approximations are x2 = kx0, x4 = k2x0, etc., where k = 0.04.Addition with fixed number of significant digits depends on the order in which you add the numbers, Illustrate this with an example find an empirical rule for the best order.Interpolation and extrapolation Calculate p2© in Example 2 computer from it approximations of in 9.4, in 10, in 10.5, in 11.5, in 12, compute the errors by using exact 4D-values, and comment.Rounding for the following matrix A find det A, what happens if you round off the fiven entries to (a) 5S,(b) 4S,(c) 3S,(d) 2S,(e) 1S?What is the practical implication of yourwork?Rayleigh quotient why does q generally approximate the Eigen value of greatest absolute value? When will q be a good approximation?
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