Suppose a four sector economy presents the following internal consumption matrix A and external demand vector d, A=[[0.100,0,0.50,0], [0.010,0,0.020,0.025], [0,0.080,0,0],[0.030,0,0,0.020]] Vector D = [[10],[20],[30],[40]] [0.100 0 0.050 0 [10] A = 0.030 0.010 0 0.020 0.025 0 0.080 0 0 0 20 d= 0 30 0.020 40 Find the production vector to satisfy this demand accurate to four decimal places by using technology: 1. Invert the appropriate matrix. 2. Invert the appropriate matrix using the power approximation up to power 5. 3. After completing parts 1 and 2, discuss your observations.