PLEASE USE MATLAB TO DO AND FILL OUT THE BLANK WITH ANSWERS. REMEMBER TO PRINT THE MATLAB CODE UNDERNEATH FOR THE CHALLENGE PROBLEM

6. Determine: augmented matrix, rref equivalent form, and the solution, if any. x1x2+2x3=52x1+x2=1x1+8x2x3=3x15x212x3=41 Augmented matrix: rref result: new equation from rref result: Number of pivots___ Free variables Solution type: Vector form of solution: p=,vh=, Parametric form of solution: Challenge. Determine a value(s) of the right hand side number of equation 4 of Problem 6 so the new system of equations has a unique solution, that is, replace 41 with a number that results in a consistent system of equations. Write out the new system of equations, the rref result and the solution. Provide a printout of your MATLAB work