3. Consider the following system of linear equations. X +32= 1 = -2 2x+2y+5z -x -2z = 0 (a) Write down the coefficient matrix A (i.e. the matrix of coefficients) of the above syster and determine A-. (b) Show that AA-1=1 and A-1A = 1, where / is the 3 3 identity matrix. (c) Use A to solve the system. (d) Evaluate |A| by expanding by the second column. (e) Use Cramer's rule to solve the above system. (- (- (2 (2 (4