1 . Three linear systems are shown below. Results from solving the systems using row reduction are also shown, but not necessarily in the same order. For each linear system, identify the corresponding reduced matrix. Explain. Three linear systems x+2y =3 x +2y =3 x+ 2y =3 a) b) C) 2x + 4y =6 2x + 4y =5 2x+ y = 0 Three reduced matrices Matrix 1 Matrix 2 Matrix 3 6 1 2 1 2 3 2. Solve the following linear system using row reduction, if possible. If it is not possible, explain why. 4x - 6y + 2z = 10 2x - 3y + z=0 x - 9y - 4z =5 3. Solve the following linear system using row reduction. x + 4y - z =-3 2x+ y -4z = 3 a) b) x+ 5y - 3z =2 x+ y+3z =2 4. When two 3 by 3 systems of equations were solved using row reduction, the results shown below were obtained. a. Why did zeros appear in the first three positions of the third row of each matrix? b. What do these matrices tell you about the solution of the original system? Explain, both algebraically and geometrically. Two reduced matrices Matrix 1 Matrix 2 2 1 2 - 3 2 1 2 - 3 0 4 - 5 0 4 - 5 10 0 0 0 10 0 0 10