Consider the following system of equations for allproblems.
The following system of equations is designed to determineconcentrations (the c’s in g/m3) in a series of coupled reactors asa function of the amount of mass input to each reactor (theright-hand sides in g/day).
8?1 ? 4?2 ? 2?3 = 2000
?3?1 + 18?2 ? 6?3 = 1400
?4?1 ? 2?2 + 12?3 = 3000
Calculate and interpret the condition number. Use therow-sum norm. Scale the coefficient matrix (A) so the absolutevalue of the maximum element in each row is 1 (max magnitude ineach row = 1). You may use MATLAB’s inv to find the inverse of thescaled A matrix
