Please don't provide handwritten solution..... The matrixhas eigenvalue X ==Find an -2-eigenvector for A:-2 repeated three times.Give a 7-generalized -2-eigenvector:WGive a w-generalized -generalized -2-eigenvector:ū =(To be counted correct, all three vectors must be entered and be consistent.)A = =34-36−1]-5

Consider matrix Applying Then becomes Then can be written as

Answered: The matrix has eigenvalue X = -2…

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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2. You have some coins, each of which is a penny (1 cent), a nickel (5 cents), a dime (10 cents), or a quarter (25 cents). You know that • you have twice as many pennies as nickels, • the number of dimes is one more than the number of pennies and nickels combined, you have 34 coins in total, • and the total value of your coins is $2.70 (270 cents). (a) Set up a system of linear equations for the numbers of pennies, nickels, dimes, and quarters you have. (b) Determine how many coins of each type you have, by solving the system from part (a).
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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59. Car repairs Smith Chevrolet charges $50 per hour for labor on car repairs. Lopez Ford charges a diagnosis fee of $30 plus $40 per hour for labor. If the labor on an engine repair costs the same at either shop, how long does the repair take?
A contractor has a contract which which will expire in 40 days. At present, he has 80 men on the job and can finish the job in 50 days. The wage per day of 40 men is $500 each and the other 40 men is $300, each for 8 hours work per day. The fine for the delay in the work is $10,000 per day. 1st question: How many more men should the contractor add in order to complete the work on time? 2nd question: Assuming that the additional men to be added will be paid $400 per day, will the contractor save money by employing enough men to complete the work on time or by not adding more men and just pay the fine? If any, how much is the savings? No overtime work is permitted.
Show your complete and clear solution.
7) (a) If my favorite cereal costs $2.99 for a 14-ounce box, what is the price per ounce? (b) A gallon of milk costs $2.89. What is the price per ounce? (c) A three-pound bag of apples is on sale for $2.49. What is the price per pound? (d) In one store, a 36-pack of diapers costs $12.99. Another store is selling bonus packs, containing 42 diapers, for $14.59. Which is the better deal?
Ms. Cooper wishes to attend a conference which would take place in Hotel Mariott or Hotel Hilton. She isnot sure where the conference will take place but has to make her decision to book a room, immediately.The one-way taxi charges to and from the airport to both hotels are $50. The rooms in Hotel Mariott cost$150 per night and those in Hilton cost $100 per night. The taxi charge from Hotel Mariott to Hotel Hiltonand vice-versa is $20. She needs to book a room for two nights. If she stays in the wrong hotel, she needsto take a taxi from the hotel she is staying to the conference venue and back on days 1 and 2 and take a taxione way on day 3.a) Write the Loss Matrix.b) What should the probability of conference being conducted at Mariott be so that it does not matter where she stays?
If a company issues common stock for $48800 and uses $36600 of the cash to purchase a truck, O assets will be increased by $12200. O equity will be reduced by $48800. O assets will be unchanged. O assets will be increased by $48800.
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5. Two buses leave the Amarillo station at the same time. The Albuquerque bus heads west on I-40 at a speed of 65 mph, and the Oklahoma City bus heads east on 1-40 at a speed of 70 mph. How long will it take for them to be 630 miles apart?
Solve the following word problems.

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The matrix has eigenvalue X = -2 repeated three times. Find an -2-eigenvector for A: v= Give a -generalized -2-eigenvector: 19 || Give a t-generalized -generalized-2-eigenvector: 13 = A = -1 3 4 -11 T 3 -5 6-8