Oh. Ich glaube da hast du mehrere kleinere Rechenfehler drin.
A = [90/990, 190/1060, 10/1120; 100/990, 170/1060, 140/1120; 200/990, 160/1060, 60/1120]
A = [1/11, 19/106, 1/112; 10/99, 17/106, 1/8; 20/99, 8/53, 3/56]
E - A = [10/11, - 19/106, - 1/112; - 10/99, 89/106, - 1/8; - 20/99, - 8/53, 53/56]
(E - A)^{-1} = [91179/80150, 2871/11450, 7029/160300; 7102/40075, 7208/5725, 6731/40075; 1552/5725, 1456/5725, 6256/5725]
(E - A)^{-1} = [1.1376, 0.2507, 0.0438; 0.1772, 1.2590, 0.1680; 0.2711, 0.2543, 1.0928]
Es gilt:
A·P + M = P
M = (E - A)·P
P = (E - A)^{-1}·M
P = (E - A)^{-1} * M = [1.1376, 0.2507, 0.0438; 0.1772, 1.2590, 0.1680; 0.2711, 0.2543, 1.0928] * [700; 650; 700 + 385] = [1006.80; 1124.67; 1540.75]
Der Output von Sektor 2 beträgt nach der Anpassung 1124.67 Mrd. Schilling.
