(Solution) An economy is based on three sectors, agriculture, manufacturing, and energy. Production of a dollar's worth of agriculture requires inputs of \$0.30... > Snapessays.com

(Solution) An economy is based on three sectors, agriculture, manufacturing, and energy. Production of a dollar's worth of agriculture requires inputs of \$0.30...

Mangal, hi. I have another one homework for linear algebra. Can you take a look ?1. An economy is based on three sectors, agriculture, manufacturing, and energy. Production of a

dollar's worth of agriculture requires inputs of \$0.30 from agriculture, \$0.30 from manufacturing

and \$0.20 from energy.

Production of a dollar's worth of manufacturing requires inputs of \$0.20

from agriculture, \$ 0.20 from manufacturing, and \$0.30 from energy. Production of a dollar's

worth of energy requires inputs of \$0.30 from agriculture, \$0.40 from manufacturing, and \$0.30

from energy. Find the output for each sector that is needed to satisfy a final demand of \$54

billion for agriculture, \$29 billion for manufacturing, and \$36 billion for energy.

The output of the agricultural sector is _______ billion dollars.

2. Prove the theorem

The (i,j)-entry of

is the (j,i)-entry of AB, which is ______________________

3. compute the determinant using a cofactor expansion across the first row. Also compute the

determinant by a cofactor expansion down the second column.

Compute the determinant using a cofactor expansion across the first row. Select the correct

choice below and fill in the answer box to complete your choice.

a. using this expansion, the determinant is -(0)(-6)+(4)(-4)-(5)(-8)=?

b. using this expansion, the determinant is -(2)(-18)+(0)(-6)-(4)(15)=?

c. using this expansion, the determinant is (2)(-18)-(0)(-6)+(4)(15)=?

d. using this expansion, the determinant is (0)(-6)-(4)(-4)+(5)(-8)=?

4. compute the determinant using a cofactor expansion across the first row. Also compute the

determinant by a cofactor expansion down the second column.

Compute the determinant using a cofactor expansion across the first row. Select the correct

choice below and fill in the answer box to complete your choice.

a. using this expansion, the determinant is -(3)(-13)+(-3)(-6)-(4)(11)=?

b. using this expansion, the determinant is (3)(-13)-(-3)(-6)+(4)(11)=?

c. using this expansion, the determinant is (-3)(-6)-(1)(-7)+(4)(-3)=?

d. using this expansion, the determinant is -(-3)(-6)+(1)(-7)-(4)(-3)=?

5. Let A be an n×n matrix. Mark each statement True or False. Justify each answer.

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