(a) (b) (c) What is the Leontief inverse matrix ? What are the mathematical properties of it? State and prove graphically the Hawkins-Simon condition in case of 2 x 2 industries in the static open input-output model. Give an economic interpretation of it. Consider the Leontief input coefficient matrix : 0.1 0.2 0.2 A = 0.2 0.4 0.1 0-3 0.1 0-6 Test the viability condition of the system. Test the properties of Leontief inverse. (i) (ii)