Part 4: Systems of linear equations. a. Write out explicitly the system of equations implied by the matrix equation: 09 A . 2 b. Provide an economic interpretation of this system of equations. Within that interpretation, what do we learn by solving the system? c. Use the method of Gaussian Elimination to solve the system of equations from a. (Show your work) d. Does the system of equations have exactly one solution? Infinitely many? or none? Why? e. If there are infinitely many solutions: Adjust the coefficients as little as possible, so that there is a unique solution. Otherwise: Adjust the coefficients as little as possible, so that there are infinitely many solutions f. If there is no solution: Adjust the coefficients as little as possible, so that there is a unique solution. Otherwise: Adjust the coefficients as little as possible, so that there is no solution