Math 1057—Fall 2013 Assignment VI Due: Tuesday, October 1 Page 1 of 1 Solving Systems of Linear Equations Reduced Row Echelon Form (The Case of Zero Degrees of Freedom) Solve each of the following linear systems using the Reduced Row Echelon technique, as demonstrated in class. If there is no solution, explain why not. If you have found a solution, check that it is correct (recall that the solution must satisfy all the equations in the system—it is not enough to check just one of the equations.
Math 1057—Fall 2013 Assignment VI Due: Tuesday, October 1 Page 1 of 1 Solving Systems of Linear Equations Reduced Row Echelon Form (The Case of Zero Degrees of Freedom) Solve each of the following linear systems using the Reduced Row Echelon technique, as demonstrated in class. If there is no solution, explain why not. If you have found a solution, check that it is correct (recall that the solution must satisfy all the equations in the system—it is not enough to check just one of the equations.) (a) ?? ?? ? ? ? ? ? ? ? ? ? ? ? ?6 7 8 39 4 6 5 27 4 2 14 x y zx y zy z (b) ?? ?? ? ? ? ?? ?? ? 2 3 4 4 6 133 1 x y zx z x y (c) ? ? ? ? ? ?? ? ? ? 2 1 41 2 3 x yx y (d) ?? ?? ? ? ? ? ? ? ? ? ?? ? ? ?14 4 8 367 2 4 67 2 4 6 x y zx y zx y z (e) ???? ? ?? ? ? ? ?? ? ?? ? ?? ? ? 3 2 5 6 3 42 2 3 44 4 4 x y zw y zw y zx z ? Bonus Note—In Class.
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