1. Which of the matrices that follow are in row ech- elon form? Which are in reduced row echelon form? 100 234 (a) 00 1 -- (b) 0 0 0 00 13 0 (c) 00 1 (d) 000 0 1 1 (e) 0 1 2 (f) 00 003 0 1 100 1 2 01 34 (g) 0 1024 (h) 00 1 3 00136 00 00 2. The augmented matrices that follow are in row echelon form. For each case, indicate whether the corresponding linear system is consistent. If the system has a unique solution, find it. 13 (b) 01 00 3. The augmented matrices that follow are in reduced row echelon form. In each case, find the solution set to the corresponding linear system. 100 010 140 2 (a) (b) » 001 3 0 0 1 000 1 5. For each of the systems of equations that follow, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in row echelon form. Indicate whether the system is consistent. If the system is consistent and involves no free variables, use back substitution to find the unique solution. If the system is consistent and there are free variables, transform it to reduced row echelon form and find all solutions. 6. Use Gauss-Jordan reduction to solve each of the following systems. (c) +0 2x+3x=0 3x-2x=0 (c) x+x+x=0 1-1-1-0