Question: Can you help me solve these problems? (1 point) If 0.2 0.3 0.1 A = 0.3 0.1 0.4 0. 15 0.4 0.3 is the Leontief
Can you help me solve these problems?




(1 point) If 0.2 0.3 0.1 A = 0.3 0.1 0.4 0. 15 0.4 0.3 is the Leontief consumption matrix for a three sector economy, then 140 what is the production level for the external demand D = 0 ? 0 Recall the formulaX = (I A)'1 D Notice how only Sector 1 has external demand, and yet the other sectors have production. (1 point) If A=[0.1 0.6] 0.5 0.2 is the Leontief consumption matrix for a three sector economy, then 18 what is the production level for the external demand D = [ 11]? Recall the formula X = (I A)'1 D Notice how only Sector 1 has external demand, and yet the other sectors have production. (1 point) A1,1 A 1,2 [ AT,) - AT,1 412A2,2 Using the result from class that says that if A is partitioned as , this means that: 0 then A- equals A1,2 AZ2 A1,1 A1,2 --AT,1 A1,2 if A is partitioned as then A- equals , where A1,2 is all the entries of the last column except for the element d. 0 d d 3 -6 12 A1,1 1. Let A = UWNH and let AT1 W O 9 O 0 -2 0 0 0 1 AT,1 Then A- = where the vector 1/2 0 0 0 1/3 -10 20 A1,1 2. Again let A = and let AT) = oour 4 12 0 W 0 0 0 AT1 Then A- = where the vector 0 0 0(1 point) If L and U are invertible, then (LID1 = U'1L_1. Inverses of Upper and Lower triangular matrices are easier to calculate than inverses of general square matrices. Use this to Find A'1 from the given LU factorization: Wig; 2H; iii? 2] A-1 =
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