Unit 3 Homework Assignment (3.3, 3.4) WebAssign Unit 3 Homework Assignment (3.3, 3.4) (Homework) Current Score : - / 164 5/17/15, 6:45 AM Alberto Pena MAT230, section MAT230.90 MOD 5, Summer 1 2015 Instructor: James Segala Due : Saturday, June 20 2015 11:59 PM EDT 1. -/12 pointsBerrFinMath1 3.3.001. Find the augmented matrix representing the system of equations. x1 + x2 + x3 = 2 x1 + 3x2 + x3 = 5 x1 + 3x2 + 4x3 = 5 Show My Work (Optional) 2. -/12 pointsBerrFinMath1 3.3.002. Find the augmented matrix representing the system of equations. 2x1 + x2 + 4x3 + 3x4 + 4x5 = 5 x1 + x2 + 5x3 + 2x4 + 4x5 = 2 Show My Work (Optional) 3. -/1 pointsBerrFinMath1 3.3.003. 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.) 1 0 0 0 1 0 0 0 1 2 8 2 (x1, x2, x3) = Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=11336911 Page 1 of 7 Unit 3 Homework Assignment (3.3, 3.4) 5/17/15, 6:45 AM 4. -/12 pointsBerrFinMath1 3.3.006. Use an appropriate row operation or sequence of row operations to find the equivalent row-reduced matrix. 0 1 0 1 0 0 0 0 1 5 8 3 Show My Work (Optional) 5. -/12 pointsBerrFinMath1 3.3.007. Use an appropriate row operation or sequence of row operations to find the equivalent row-reduced matrix. 1 0 1 0 1 0 0 0 1 3 4 7 Show My Work (Optional) 6. -/1 pointsBerrFinMath1 3.3.008. 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.) x1 + x2 + x3 = 12 x1 + 2x2 + 2x3 = 19 x1 + 3x2 + 2x3 = 22 (x1, x2, x3) = Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=11336911 Page 2 of 7 Unit 3 Homework Assignment (3.3, 3.4) 5/17/15, 6:45 AM 7. -/3 pointsBerrFinMath1 3.3.011. 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 34,500 pounds of potash, 65,000 pounds of nitrogen, and 24,500 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? x1 = truckloads of GrowRite x2 = truckloads of MiracleMix x3 = truckloads of GreatGreen (Pounds per GrowRite MiracleMix GreatGreen Potash 400 600 700 Nitrogen 500 1000 1600 Phosphoric acid 300 400 500 truckload) Show My Work (Optional) 8. -/9 pointsBerrFinMath1 3.4.001. Use the given matrix to find the expression. A= 5 1 5 2 2 9 ; At 6 2 6 At = Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=11336911 Page 3 of 7 Unit 3 Homework Assignment (3.3, 3.4) 5/17/15, 6:45 AM 9. -/9 pointsBerrFinMath1 3.4.002. Use the given matrix to find the expression. C= 5 8 1 9 9 5 ; 3C 8 8 8 3C = Show My Work (Optional) 10.-/9 pointsBerrFinMath1 3.4.003. Use the given matrix to find the expression. B= 1 9 2 1 1 6 ; B 8 4 3 B = Show My Work (Optional) 11.-/9 pointsBerrFinMath1 3.4.004. Use the given matrices to find the expression. A= 3 6 5 8 4 3 4 2 3 C= 2 6 2 2 3 2 ; A+C 7 6 9 A+C= Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=11336911 Page 4 of 7 Unit 3 Homework Assignment (3.3, 3.4) 5/17/15, 6:45 AM 12.-/9 pointsBerrFinMath1 3.4.005. Use the given matrices to find the expression. A= 2 1 6 1 4 2 3 2 3 C= 4 6 6 9 3 2 ; C (A + I) 5 3 6 C (A + I) = Show My Work (Optional) 13.-/4 pointsBerrFinMath1 3.4.006. Find the matrix product. 3 1 (5 2) Show My Work (Optional) 14.-/2 pointsBerrFinMath1 3.4.007. Find the matrix product. 4 4 5 2 3 1 2 3 2 Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=11336911 Page 5 of 7 Unit 3 Homework Assignment (3.3, 3.4) 5/17/15, 6:45 AM 15.-/4 pointsBerrFinMath1 3.4.008. Find the matrix product. 3 1 3 2 1 2 1 2 2 2 1 1 Show My Work (Optional) 16.-/15 pointsBerrFinMath1 3.4.009. Rewrite the system of linear equations as a matrix equation AX = B. x1 + 3x2 + 2x3 = 4 x1 + x2 + x3 = 2 3x1 + 6x2 + 3x3 = 8 = Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=11336911 Page 6 of 7 Unit 3 Homework Assignment (3.3, 3.4) 5/17/15, 6:45 AM 17.-/17 pointsBerrFinMath1 3.4.010. Rewrite the system of linear equations as a matrix equation AX = B. 3x1 + 2x2 5x3 + x4 + 3x5 = 6 x1 + x2 4x3 + x4 + 5x5 = 6 = Show My Work (Optional) 18.-/24 pointsBerrFinMath1 3.4.011. 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: $17,000 per sedan, $21,000 per wagon, $24,000 per van, and $27,000 per pickup. The sticker prices at the Oakdale lot are $19,900 per sedan, $24,900 per wagon, $28,900 per van, and $29,900 per pickup, while at the Roanoke lot the sticker prices are $21,900 per sedan, $23,900 per wagon, $27,900 per van, and $31,900 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 D = S = M = Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=11336911 Page 7 of 7