[M] Suppose an experiment leads to the following system of equations:...

[M] Suppose an experiment leads to the following system of equations:

a. Solve system (3), and then solve system (4), below, in which the data on the right have been rounded to two decimal places. In each case, find the exact solution.

b. The entries in system (4) differ from those in system (3) by less than .05%. Find the percentage error when using the solution of (4) as an approximation for the solution of (3).

c. Use a matrix program to produce the condition number of the coefficient matrix in (3).