Imagine that you are given a system of linear equations in five variables 1, 2, 3,...

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Imagine that you are given a system of linear equations in five variables 1, 2, 3, 4 and 5. After converting the system to an augmented matrix and performing Gauss-Jordan Elimination, you reach the following RREF: 1 B: -3 0 0 0 1 5 2 1 4 (a) What are the leading variables? (1 point) (b) What are the free variables? (1 point) (c) Write down the system of equations corresponding to the above RREF. (1 point) (d) Determine the general solution in parametric form. (3 points) (If you are looking for good names for the parameters in part (d), you are welcome to use the letters s, t, u, v that we have usually used in class.) Imagine that you are given a system of linear equations in five variables 1, 2, 3, 4 and 5. After converting the system to an augmented matrix and performing Gauss-Jordan Elimination, you reach the following RREF: 1 B: -3 0 0 0 1 5 2 1 4 (a) What are the leading variables? (1 point) (b) What are the free variables? (1 point) (c) Write down the system of equations corresponding to the above RREF. (1 point) (d) Determine the general solution in parametric form. (3 points) (If you are looking for good names for the parameters in part (d), you are welcome to use the letters s, t, u, v that we have usually used in class.)