In Section 1.1 we studied the method of elimination for solving linear systems Ax = b. In Equation (2) of this section we showed that the solution is given by x = A-l b, if A is nonsingular. Using your software's command for automatically solving linear systems, and its inverse command, compare these two solution techniques on each of the following linear systems:
A = [aij], where
aij = 1 / I + j - 1,
i, j = 1, 2, ..., 10, and b = the first column of I10.