Prof Double R "ONLY"

1.

Find the augmented matrix representing the system of equations.

2.

Find the augmented matrix representing the system of equations.

3.

Interpret the row-reduced matrix as the solution of a system of equations. (Enter your answers as a comma-separated list. If the system is inconsistent, answer INCONSISTENT. If the system is dependent, parametrize the solutions in terms of the parameter t.)

4.

Use an appropriate row operation or sequence of row operations to find the equivalent row-reduced matrix.

5. .

Use an appropriate row operation or sequence of row operations to find the equivalent row-reduced matrix.

6. .

Solve the system of equations by the Gauss-Jordan method. (Enter your answers as a comma-separated list. If the system is inconsistent, answer INCONSISTENT. If the system is dependent, parametrize the solutions in terms of the parameter t.)

= 3

7.

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 parameters u and v.)

A large commercial farm needs 37,500 pounds of potash, 73,500 pounds of nitrogen, and 27,000 pounds 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?

truckloads Of GrowRite truckloads Of MiracleMix truckloads Of GreatGreen

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8. Use the given matrix to find the expression.

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9. —/

Use the given matrix to find the expression.

10. Use the given matrix to find the expression.

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11.

Use the given matrices to find the expression.

12.-

Use the given matrices to find the expression.

13.

Find the matrix product.

14.

Find the matrix product.

15.-

Find the matrix product.

16.-

Rewrite the system of linear equations as a matrix equation AX — B.

= 2

= 4

17.

Rewrite the system of linear equations as a matrix equation AX — 4X1 +

+

+

18.

Formulate the situation in matrix form. Be sure to indicate the meaning of your rows and columns. Find the requested quantities using the appropriate matrix arithmetic.

A car dealer sells sedans, station wagons, vans, and pickup trucks at sales lots in Oakdale and Roanoke. The "dealer markup" is the difference between the sticker price and the dealer invoice price. The dealer invoice prices at both locations are the same: $13,000 per sedan, $19,000 per wagon, $24,000 per van, and $26,000 per pickup. The sticker prices at the Oakdale lot are $17,900 per sedan, $23,900 per wagon, $27,900 per van, and $30,900 per pickup, while at the Roanoke lot the sticker prices are $16,900 per sedan, $22,900 per wagon, $26,900 per van, and $28,900 per pickup. Represent these prices as a dealer invoice matrix D and a sticker price matrix S. Use these matrices to find the dealer markup matrix M for these vehicles at these sales lots. (Let row 1 represent the dealer in Oakdale and row 2 represent the dealer in Roanoke.) sedan station wagon van pickup truck