Question: 1.Formulate the situation as a system of linear equations. Be sure to state clearly the meaning of each variable. Solve using the Gauss-Jordan method. State
1.Formulate the situation as a system of linear equations. Be sure to state clearly the meaning of each variable. Solve using the Gauss-Jordan method. State your final answer in terms of the original question. (If the system is inconsistent, answer INCONSISTENT. If the system is dependent, parametrize the solutions in terms of the parametersuandv.)
A large commercial farm needs40,000pounds of potash,75,500pounds of nitrogen, and28,500pounds of phosphoric acid. Three brands of fertilizer, GrowRite, MiracleMix, and GreatGreen, are available and contain the amounts of potash, nitrogen, and phosphoric acid per truckload listed in the table. How many truckloads of each brand should be used to provide the required potash, nitrogen, and phosphoric acid?
x1=truckloads of GrowRite
x2=truckloads of MiracleMix
x3=truckloads of GreatGreen
Pounds per
truckload)GrowRiteMiracleMixGreatGreen
Potash400600 700
Nitrogen50010001600
Phosphoric acid300400 500
2.Use the given matrix to find the expression.
A=916
954
758;At
At=
3.Use the given matrix to find the expression.
C=982
739
919;3C
3C=
4.Use the given matrix to find the expression.
B=493
841
965;B
B=
5.Use the given matrices to find the expression.
A=
251
854
736
C=
576
814
349;
A+C
A+C=
6.Use the given matrices to find the expression.
A=
293
154
636
C=
671
594
916;
C(A+I)
C(A+I)=
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