Matrices

Information For questions 1 - 2, determine the order of each element. Then, identify element a32, if it exists. Question 1 1 10 2 57 Not yet A = 6 -834 answered 0 12 7 9_ Points out of 11.11 Select one: O a. order 4 x 3, 232 = 3 O b. order 3 x 4, a32 does not exist O c. order 3 x 4, 232 = 12 O d. order 4 x 3, 232 = 12 Question 2 Not yet A = - co w answered Points out of 11.11 Select one: O a. order 3 x 3, 232 = 3 O b. order 3 x 1, 232 does not exist O c. order 3 x 1, 232 = 1 O d. order 1 x 3, 232 = 9Question 3 Which of the following matrices represents the 4 x 4 identity matrix? Not yet answered Select one: Points out of O a . 1000 11.11 0 10 0 A = 0 010 0100. Ob. A = 10 01 O c. 10007 0100 A = 0 010 0 0 0 1. O d. 10 07 A = 010 Lo 01] O e. none of the aboveInformation The matrix below represents the earnings that Ellen made while working three weeks in the summer. Ellen only worked during the week so that she could play in a summer soccer league on the weekends. Use this information to answer questions 4 - 9. 24 22 32 25 28 30 30 28 32 10 15 19 35 32 30 Question 4 What do the rows represent? Not yet answered Select one: Points out of O a. days of the week 11.11 O b. weeks O c. Quarters Question 5 What do the columns represent? Not yet answered Select one: Points out of O a. weeks 11.11 O b. quarters O c. days of the week E.Question 6 How much money did Ellen make in the first week? Not yet answered Select one: Points out of O a. $124 11.11 O b. $125 O c. $143 O d. $78 Question 7 What is the total amount of money that Ellen earned from working on Tuesdays? Not yet answered Select one: Points out of O a. $125 11.11 O b. $78 O c. $124 O d. $83Question 8 What day of the week was most profitable? Not yet answered Select one: Points out of O a. Monday 11.11 O b. Tuesday O c. Wednesday O d. Thursday O e. Friday Question 9 What day of the week was least profitable? Not yet answered Select one: Points out of O a. Monday 11.12 O b. Tuesday O c. Wednesday O d. Thursday O e. FridayInformation Perform the matrix operations as 3 7 For questions 1 - 3, let matrix A =| 4 -5 , matrix B =|14 6 2] and e-[18 2% indicated. Then, identify element a21. If an operation is not possible, place NA. Question 1 2 -B + C Not yet answered Points out of 20.00 Select one: O a. -2 O b. 3 O c. 10 O d. 1 O e. NAQuestion 2 CA Not yet answered Select one: Points out of O a. 80 20.00 O b. 85 O c. O O d. -130 O e. NA Question 3 BC Not yet answered Select one: Points out of O a. 460 20.00 O b. -270 O c. O O d. 130 O e. NAInformation For questions 4 - 5, use the following: Edmond owns three coffee shops in Seattle, Washington. A supplier brings coffee beans to the shops each month. The table below shows the total number of bags delivered to each shop and their sizes in kilograms. The cost of the 5 kg, 10 kg, and 15 kg bags are $8.50, $15.25 and $22.75, respectively. 5 kg 10 kg 15 kg Shop A 40 102 68 Shop B 35 83 55 Shop C 68 115 123Question 4 Which of the following matrix products represents the total spent at Shop B? Not yet answered Select one: Points out of O a. 8.50 20.00 [ 102 83 115 15.25 22.75 O b. 8.50 15.25 35 83 55 ] 22.75 O C. 8.50 15.25 102 115 115 ] 22.75 O d. 8.50 [ 35 83 55] 15.25 22.75Question 5 Which of the following matrix products represents the total spent at each of the three shops? Not yet answered Select one: Points out of O a . 8.50 40 35 68 20.00 15.25 102 83 115 22.75 68 55 123 Ob. 8.50 15.25 35 83 55 ] 22.75 O C. 40 35 68 8.50 102 83 115 15.25 68 55 123 _ 22.75 O d. 40 102 68 8.50 35 83 55 15.25 68 115 123 J 22.75Assignment: Row Operations and Row Echelon Form Directions: Write each matrix in row echelon form. You must show all work for full credit. Be sure to label your row operations For example, 4R1 + R3 :> 1'15610] 360-15 00-1-1 39-61 612 -70 i i an i l -5 -6 -12 -1 -1 -2 4 -2 0 1 1 6 23 -5 -10 Assignment: Inverse Matrices Directions: For questions 1 2, determine whether matrices A and Bare inverses. You must show all work for full credit. _iZ _ -36 _ 27 9 1A[2 5] and B l l 27 9 _ 49 _ 27 2A[12] and B [1 3] For questions 3 5, find the inverse of each matrix, if it exists' You must show all work for full credit. 12 3. [20] 134 4.[421] 125 721 5. 03-1 -34-2