Please don't provide handwritten solution.... P =_LetD=A=Is A diagonalizable over R? choose-3-1If possible, find an invertible matrix P so that DP-¹AP is a diagonal matrix. If it is not possible, enter the identity matrixfor P and the matrix A for D. You must enter a number in every answer blank for the answer evaluator to work properly.=20-1-1205◆ Be sure you can explain why or why not.

Let us strat by finding the eigen values of the matrix…

Answered: _Let A = -3 -1 1 2 -12 0 0 -1 5 If…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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6. Poi is planning to build a swimming pool. Here are some of his requirements: the surface of the pool should be 1800 ft². Along two opposite sides, he wants the deck to be 5 ft wide, and on the other two opposites sides, he wants the deck to be 10 ft wide. What is the smallest piece of property on which he can place his pool?
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 72 students, requires 7 chaperones, and costs $1300 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $90 to rent. Since there are 720 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 720 students. Since only 84 parents have volunteered to serve as chaperones, the officers must plan to use at most 84 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?
4. Aardvark Car Rentals has two basic plans. One is to rent a car for $29 per day and then pay $.40 per mile. The second is to rent a car for $89 for the first day and then pay $49 for each subsequent day with unlimited mileage. Frank expects to drive a car about 500 miles total, but he has no idea how many days he’ll need it. (He might need it for 2 days, but he could see needing it for as many as 10 days.) Make a systematic list to help him decide which plan to use, showing which plan is best for each number of days up to 10.
I need only handwritten otherwise i will dislike so only handwritten
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 70 students, requires 5 chaperones, and costs $1,400 to rent. Each van can transport 10 students, requires 1 chaperone, and costs $90 to rent. Since there are 700 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 700 students. Since only 60 parents have volunteered to serve as chaperones, the officers must plan to use at most 60 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs? The officers should rent buses and vans to minimize the transportation costs.
American and Japanese workers can each produce 4 cars a year. An American worker can produce 10 tons of grain a year, whereas a Japanese worker can produce 5 tons of grain a year. To keep things simple, assume that each country has 100 million workers. A) For the United States, what is the opportunity cost of one car? Of one ton of grain? B) For Japan, what is the opportunity cost of one car? Of one ton of grain? C) Which country has an absolute advantage in producing cars? In producing grain? D) Which country has a comparative advantage in producing cars? In producing grain?
2. Your prank war has continued to accelerate. You decide to cover your friend's car with post- it notes. How many post-it notes would you have to buy if each post-it note package contains 500 sticky notes at 3 inches x 3 inches in size. Your friend drives a 2021 Jeep Wrangler. (Hint: start by finding the dimensions of the jeep).
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3.) Mr. Richards and Mr. Dolge each began improving their yards over the summer by buying bags of soil (fancy dirt) and bags of mulch (bark dust). Since Mr. Dolge has access to a truck, Mr. Richards got a ride and as a result they got their supplies from the same store. Mr. Dolge spent $97 on 3 bags of soil and 14 bags of mulch. Mr. Richards got 14 bags of soil and 7 bags of mulch for $161. They forgot to get a receipt, but just in case they need more supplies, they are wondering how much each bag of soil will cost, and how much each bag of mulch will cost. What should they find these prices to be?
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2. Jimmy was drawing rectangles at his desk. After a while he concluded that if you increased one of the sides by 10% and decrease the other side by 10% the area won't change. Is Jimmy correct? Provide a formal mathematical argument as well as a "teacher response" to Jimmy.
14. Although we commonly think of a square or rectangle when we think of a four-sided figure, other geometric figures are also four-sided. The solutions for area or dimensions in these figures relate to the relationships between adjoining sides.

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_Let A = -3 -1 1 2 -12 0 0 -1 5 If possible, find an invertible matrix P so that D = P-¹AP is a diagonal matrix. If it is not possible, enter the identity matrix for P and the matrix A for D. You must enter a number in every answer blank for the answer evaluator to work properly.