1. Find the solution to the following system of equations by row reducing the augmented matrix, and check your answer.

2. Find the elementary matrices corresponding to the first four elementary row operations you used in 1. above, and then multiply them together as follows:

3. This is a continuation of 2. above. Find all the remaining elementary matrices corresponding to the rest of the elementary row operations that you used in 1. Use these together with those found in 2. to compute the matrix inverse of A, and check that it is the inverse of A. Note that your answer must be correct to receive full credit.