Find all x in R* that are mapped into the zero vector by the transformation xHAx for the given matrix A. 1 12 4 1 3 - 4 A = 4 -3 - 1 - 12 4 Select the correct choice below and fill in the answer box within your choice. O A. There is only one vector, which is x = O B. x, + X2 O C. X + X3 +X4 O D. X3 3. 3. 1,

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Find all x in R* that are mapped into the zero vector by the transformation xHAx for the given matrix A.
1
12
4
1
3
- 4
A =
1
3
4
-3 - 1
- 12
4
Select the correct choice below and fill in the answer box within your choice.
O A. There is only one vector, which is x =
О В. Х
+ X2
O C. x
+ X3
+ X4
O D. X3
3.
Transcribed Image Text:Find all x in R* that are mapped into the zero vector by the transformation xHAx for the given matrix A. 1 12 4 1 3 - 4 A = 1 3 4 -3 - 1 - 12 4 Select the correct choice below and fill in the answer box within your choice. O A. There is only one vector, which is x = О В. Х + X2 O C. x + X3 + X4 O D. X3 3.
Suppose an economy has four sectors: Mining, Lumber, Energy, and Transportation. Mining sells 20% of its output to Lumber, 70% to Energy, and retains the rest.
Lumber sells 10% of its output to Mining, 50% to Energy, 20% to Transportation, and retains the rest. Energy sells 20% of its output to Mining, 15% to Lumber, 20% to
Transportation, and retains the rest. Transportation sells 25% of its output to Mining, 20% to Lumber, 40% to Energy, and retains the rest.
a. Construct the exchange table for this economy.
b. Find a set of equilibrium prices for this economy.
a. Complete the exchange table below.
Distribution of Output from:
Mining Lumber Energy Transportation
Purchased by:
0.10
0.10
0.20
0.25
Mining
0.20
0.20
0.15
0.20
Lumber
0.45
Energy
0.70
0.50
0.40
0.15
Transportation
0.00
0.20
0.20
(Type integers or decimals.)
b. Denote the prices (that is, dollar values) of the total annual outputs of the Mining, Lumber, Energy, and Transportation sectors by pM: PL- PE, and pr, respectively.
If pr = $100, then PM = S |. PL = S , and Pe = S
(Round to the nearest dollar as needed.)
Transcribed Image Text:Suppose an economy has four sectors: Mining, Lumber, Energy, and Transportation. Mining sells 20% of its output to Lumber, 70% to Energy, and retains the rest. Lumber sells 10% of its output to Mining, 50% to Energy, 20% to Transportation, and retains the rest. Energy sells 20% of its output to Mining, 15% to Lumber, 20% to Transportation, and retains the rest. Transportation sells 25% of its output to Mining, 20% to Lumber, 40% to Energy, and retains the rest. a. Construct the exchange table for this economy. b. Find a set of equilibrium prices for this economy. a. Complete the exchange table below. Distribution of Output from: Mining Lumber Energy Transportation Purchased by: 0.10 0.10 0.20 0.25 Mining 0.20 0.20 0.15 0.20 Lumber 0.45 Energy 0.70 0.50 0.40 0.15 Transportation 0.00 0.20 0.20 (Type integers or decimals.) b. Denote the prices (that is, dollar values) of the total annual outputs of the Mining, Lumber, Energy, and Transportation sectors by pM: PL- PE, and pr, respectively. If pr = $100, then PM = S |. PL = S , and Pe = S (Round to the nearest dollar as needed.)
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