Suppose that A is 3 x 3 matrix. Suppose the following sequence of elementary row operations, labeled E1, E2, and E3, turn A into the identity matrix I3. E1: Rows one and two of A are interchanged.
E2: In the matrix that results from A after E1 is nished, 5 copies of row one are subtracted from row three and stored in row three.
E3: In the matrix resulting after E2 is completed, 3 copies of row two are added to row one.

Requried:
a. Let Q, R, and S be the three elementary matrices which represent E1, E2, E3, respectively. Explicitly find Q, R, and S and label which is which.
b. Find A^-1 and explain how you found it.
c. Find A.
d. Find (A-1)^T.