1 0 9 and suppose ab = . Solve the system involving the linear equations in (1a). Use augmented matrices where appropriate; show your augmented matrix/matrices. M, t and h use 10, 40 and 30% of a"s output respectively; a uses the rest for itself. Finally, t uses none of its own output, half of which is consumed by m and the remainder split between a and h. Find a set of equilibrium prices for pm , pa, pt , and ph so that each sector"s income matches its expenses, assuming that ph is 81. First name: let s be the familiar vector space of all sequences s = (s1, s2, s3, s4, . of real numbers such that all but nitely many of the entries of s are 0. Suppose t : s s is de ned by. T (s) = t ((s1, s2, s3, s4, . = (s1 s2, s2 s1, s3 s4, s4 s3, .
