Hi can, help solve this Matrix Question ?

Given N = 1 and M = 4N. M-th root of 1 is given by Ѡ = j α, where exp [-2π j / N], j = (-1)1/2. Note j2 = 1. It can be verified as

ѠM = Ѡ4N  = Ѡ = (j α)4N = j4N α4N = (j4)N α4N = 1

Hint: α4N = [exp (-2π j / N)]4N = exp (-4π j) = cos 4π – j sin 4π = 1

Use M-th root of 1, construct an (M x M) square matrix S. With (a,b) element of S is given by :

sa,b = = Ѡ(a-1)(b-1), a = 1,2,……..M ; b =1.2,……..M

Write the expression of Matrix S in terms of (α). Show all the elements of this 4 x 4 part and all the elements on the four corners. Is S a Hermitian matrix?

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Hi, can I get an idea on how to answer these questions? Kindly see Case below. Thank you!==============ONLINE CASEWild Water Gets SoakedJason and Marie Salerno, brother and sister, have been running their family business, a water park called Wild Water, since they both graduated from college. The Salernos operate the park, which is located near the New Jersey shore, with help from their parents. Marie’s husband and Jason’s wife are also involved in the business. Wild Water has now been in business for more than 40 years—it is a landmark to both locals and summer tourists. The water park features such attractions as a wave pool, several water slides, a flume ride, a kiddie pool, and a tube ride. A picnic park, shaded petting zoo, aquarium, snack bar, and restaurant called the Seafood Shack round out the park’s offerings.The park opens on Memorial Day and cuts back to weekends only after Labor Day, typically closing in the fall. With just a few months to accumulate revenue, the family and employees of the park work extremely hard. Marie oversees the financial aspects of the business, while Jason manages the staff. The staff—rider operators, ticket takers, lifeguards, and the like—are very loyal. Some have parents who once worked at the water park, and many have siblings who also work there. By its very nature, the organization culture of Wild Water is hierarchical—but most who work there, including Jason and Marie, would refer to their employees as part of the family. Jason holds weekly staff meetings, where employees are encouraged to voice their ideas about any aspect of the park’s operations. Photos of workers and customers line the walls of Jason and Marie’s tiny office, and stories about the park and its people abound, including sightings of celebrity visitors and near-disasters such as a close call with a hurricane.While the organization culture has remained largely unchanged for the past four decades, the environment in which the park operates is changing. A new state safety law requires some expensive updating to meet the code. The Salernos recently learned that some of the smaller beach cottages in the area are going to be torn down to make way for a development of expensive condominiums. Vacationers who rent the condos are more likely to be looking for entertainment in the form of golf, deep-sea fishing trips, and exclusive restaurants. One of the major amusement park chains has been looking at a piece of real estate nearby. This chain is well known for its high-end rides, shows, and eating establishments. The Salernos point out that an entire family could enter Wild Water for the cost of one ticket at one of the chain’s parks.While the Salernos acknowledge that they have serious challenges ahead, they remain upbeat. Wild Water has been a favorite of families for more than two generations, and they expect it to continue to be a destination for local residents as well as vacationers. But they need to make some changes to keep those visitors—and the new condo owners—coming through the turnstile.QuestionsImagine that you are a management consultant hired by the Salernos to help them navigate the choppy waters ahead. First, describe the elements of the macroenvironment and competitive environment that affect Wild Water now. Then describe elements that you anticipate will affect the water park in the next few years.Next, describe the organization’s culture. Discuss how the current culture affects the way it responds to the organization’s external environment.Now, create a plan for Wild Water. In your plan, describe what changes the organization needs to make in its culture to meet upcoming challenges in the external environment. Then describe steps that Wild Water can take to compete successfully against the new amusement park. How can the Salernos keep their loyal customers happy while attracting new ones?

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Hi,

Can I get some practise exercises, multiple choices, studying questions & answers for my university subject in Healthcare Biotechnology which should cover:-

key concepts and principles involved in healthcare biotechnology, and their applications in molecular medicine.Course Contents & TopicsGenetic biotechnology in animals (transgenics, knockouts and other related technologies): Transgenic animals as models in the study of human diseases, as bioreactors for the production of hormones, antibiotics and vaccines and organs for xenotransplantation.

Advanced molecular biology techniques related to human and animal science basic research, disease diagnosis and development of new therapies. These include but not limited to: applications of DNA technologies in diagnostic medicine and forensic science; tissue engineering. 

An overview of the drug development process, with a focus on the early-stage, preclinical drug discovery, drug target identification, high-throughput assay development, and screening of chemical libraries (synthetic and natural products). The concept of individualized medicine will also be discussed.

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Hi Can I please get hep with the following questions. Can I also get help on how to process on excel with formulas?

Confidence

1.The daily sales of Burger Baby restaurants follow the normal distribution with a standard deviation of $4000.

2.Sample of the sales at 50 Haute Dog restaurants is taken and the sample mean is $30,000 per day with a sample standard deviation of $2000.  The population standard deviation is not known.

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Hi, Can someone help me to get the correct answers? I have choice the wrong answers, I am very appreciate if someone can give me the correct answers. There are 8 questions in the attached files. Thanks 🙂

• Attachment 1
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