Given the following Ax=b linear system problem, determine if the system described by these equations is: (1) "underspecified" and has no unique solution (i.e. infinitely many solutions), (2) "exactly specified" and has one unique solution, or (3) "overspecified" and has no solution. If the system is exactly specified, state its solution as determined by Gaussian Elimination with Back Substitution. x+y+z+w=72x+y+2z+w=10x+y+w=62x+y+w=8 a. Show the augmented matrix. b. Complete forward elimination and state whether the system is exactly specified, overspecified, or under-specified. Be sure to show your augmented matrix after forward elimination to support your answer with a brief statement about the row reduced augmented matrix. c. Check your answer by using the MATLAB "rref" function. Look up help in MATLAB on how to use it. Define your A matrix in MATLAB, define your b vector in MATLAB, create an augmented matrix C in MATLAB using the command line syntax " C=[A]", and then run the rref command on the matrix C. Be sure to show copies of your command line code used to do this and the output. d. Add the following equation as the fifth equation to the linear system. Repeat parts a,b, and c for this new system of five equations. 3x+3z+6w=27