In Section 1.1 we studied the method of elimination for solving linear systems Ax = b. In...

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-1b, 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) A = , b =

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(b) A= [aij], where

aij =

i, j – 1,2n 10, and b = the first column of I10.