please answer the question in the attached picture with work shown, thanks!#10 10) Solue the tollowing system using the inversonatriy method:2x, - X2 = 0X, -3xz==5

Solve using the concept of inverse matrix

Answered: 1) Solve the following system using the…

Math

Algebra

1) Solve the following system using the inverso natriy method: 2x, - X2 = 0 3xz = -5

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...

See similar textbooks

Similar questions

1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2
A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and atleast 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units ofVit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit.A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and eachbrand Y capsule costs P9.00, how many capsules should the patient take each day tominimize the costs? Solve using graphical method. Show complete solution.Required:1. Formulate the following:a. Decision variablesb. Objective functionc. Constraints2. Graph3. Identify feasible region.4. Solve for the value of X and Y at each point.5. Decision.
At a college basketball game, one lucky ticket holder will win an all-expenses-paid trip to the conference championship game. There are 4,000 ticket holders at the game. The organizers want to place chips, each labeled with the seat number of a ticket holder, in a bin and draw the winner from the bin. Unfortunately, the bin will hold only 400 chips. Which method assures both that the organizers can use the bin for the drawing and that each ticket holder will have a fair chance of winning? A. Place chips labeled with the seat numbers of each ticket holder into 10 groups based on age. Then randomly select one of the groups and place it in the bin. Randomly select the winner of the trip from the bin. B. Randomly assign the 4,000 ticket holders to 40 equal-sized groups. Then randomly select 4 of the groups and place their seat numbers in the bin. Randomly select the winner of the trip from the bin. C. Place 400 chips labeled with the seat numbers of ticket holders from a…
If you set up your study as a block design, the usual convention is to have 1 experimental unit per treatment per block. So if there is 2 treatments there would be 2 experimental units per block? True or False
A diabetic patient needs at least 30 units of vitamin A, at least 45 of vitamin C, andat least 30 of vitamin E each day. Each brand X multivitamin capsule contains 4units of A, 6 of C, and 2 of E; each brand Y capsule contains 5 units of A, 3 of C,and 5 of E. If each brand X capsule costs ₱ 6 and each brand Y costs ₱ 9, howmany capsules should the patient take each day in order to minimize the cost?
a) The base chassis of a manufactured product is made up of numerous components. There can sometimes be differences in dimensions between components, requiring the partially assembled product to be sent to another department for extra fitting work because some components cannot be fitted in place. The majority of fitting problems are caused by two particular components (identified as B and F): the chances of a randomly chosen component of type B not fitting are 3.7%, and the chances of a randomly chosen component of type F not fitting are 2.8%. (i) Given that the problems with fitting these two components are independent of each other and that components are selected randomly for assembly on each base chassis, what is the probability that both components B and F will have problems fitting on a given chassis? ii) How likely is it that there will be problems fitting components B and F to a given chassis under the same assumptions? (b) (i) The probability distribution of the number of…
a) The base chassis of a manufactured product is made up of numerous components. There can sometimes be differences in dimensions between components, requiring the partially assembled product to be sent to another department for extra fitting work because some components cannot be fitted in place. The majority of fitting problems are caused by two particular components (identified as B and F): the chances of a randomly chosen component of type B not fitting are 3.7%, and the chances of a randomly chosen component of type F not fitting are 2.8%. (i) Given that the problems with fitting these two components are independent of each other and that components are selected randomly for assembly on each base chassis, what is the probability that both components B and F will have problems fitting on a given chassis? ii) How likely is it that there will be problems fitting components B and F to a given chassis under the same assumptions? (b) (i) The probability distribution of the number of…
A marketing research group conducting a telephone survey must contact at least 150 wives and 120 husbands. It costs P100 to make a daytime call and (because of higher labor costs) P150 to make an evening call. On average, daytime calls reach wives 30% of the time, husbands 10% of the time, and neither of these 60% of the time, whereas evening calls reach wives 30% of the time, husbands 30% of the time, and neither of these 40% of the time. Staffing considerations mean that daytime calls must be less than or equal to half of the total calls made. How many should be interviewed at each period to minimize the cost of completing the survey? fomulate the LP Model; identify the decision variables used in the model; and determine the optimal solution using graphical method.
The city of San Fransokyo is a high-tech city, especially in the field of robotics. There are three big companies that rule the city: Granville, Axcel, and Hamada. The Granville company controls about 50% of the total robot manufacturing in the city of San Fransokyo; Axcel company controls 35%; while the rest is controlled by the Hamadacompany. Based on the information you have obtained, it turns out that 3% of the robots made by Granville have problems with the sensing ability ofthe robot. As much as 5% robots made by Axcel and 1% robots made by Hamada also have the same problem. You want to buy a robot to help with your business and randomly pick up exactly one robot from the three companies. After the item arrives, you do a test, and it turns out that the robot is experiencing a malfunction in its sensing component. Using the Bayes Rule approach, which company is predicted to make the robot you bought? Justify your answer with adequate calculations!
Suppose 55 percent of the customers at Pizza Palooza order a square pizza, 78 percent order a soft drink, and 43 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza? Yes No
SO what would be the L, Lq, and Wq of this problem? Assuming we are trying to develop and sovle a waiting line system that can accomodate this increased leel of passenger traffic.
A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?