This is a linear algebra problem and please do part A-D and please show step by step

6 This table gives the interrelationships among three segments of an economy (see [Clark \& Coninel] We will do an Input-Output analysis on this system. (a) Fill in the numbers for this year's external demands. (b) Set up the linear system, leaving next year's external demands blank. (c) Solve the system where we get next year's external demands by taking this year's external demands and inflating them 10%. Do all three sectors increase their total business by 10% ? Do they all even increase at the same rate? (d) Solve the system where we get next year's external demands by taking this year's external demands and reducing them 7%. (The study from which these numbers come concluded that because of the closing of a local military facility, overall personal income in the area would fall 7%, so this might be a first guess at what would actually happen.)