Experiment with solving 60 ×60 systems of equations A x=b by Gaussian elimination with partial pivoting, with A having the form (22.4) Do you observe that the results are useless because of the growth factor of order 2^60 ? At your first attempt you may not observe this, because the integer entries of A may prevent any rounding errors from occurring. If so, find a way to modify your problem slightly so that the growth factor is the same or nearly so and catastrophic rounding errors really do tak