Let A be a 3 ( 3 matrix with first row [k 0 0] for some nonzero

Question:

Let A be a 3 ( 3 matrix with first row [k 0 0] for some nonzero real number k. Prove that k is an eigenvalue of A?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

See More Books

Question Posted: Jun 21, 2016 07:12 AM

See More Questions

Let A be a 3 ( 4 matrix, let v1 and v2 be vectors in, and let w = v1 + v2. Suppose v1 = Au1 and v2 = Au2 for some vectors u1 and u2 in. What fact allows you to conclude that the system Ax = w is...
Let A be a m Ã n matrix which represents (exercise 3.253) the payoff function of a two-person zero-sum game in which player 1 has m pure strategies and player 2 has n strategies. Let Z be the...
Let A be a 5 ( 3 matrix, let y be a vector in, and let z be a vector in. Suppose Ay = z. What fact allows you to conclude that the system Ax = 5z is consistent? 23
A website that reviews recent movies lists 6 five-star films (the highest rating), 17 four-star films, 14 three-star films, 9 two-star films, and 4 one-star films. Make a frequency table for the data...
Why is the scheduling of IS projects so challenging? What are some of the common problems that push IS projects beyond their due dates?
Wingate Company, a wholesale distributor of electronic equipment, has been experiencing losses for some time, as shown by its most recent monthly contribution format income statement: Sales . . . . ....
Describe the rights of patients as reviewed in this chapter.
Tatum Company has four products in its inventory. Information about the December 31, 2018, inventory is as follows: Required: 1. Determine the carrying value of inventory at December 31, 2018,...
Jenny Corporation recorded warranty accruals as at December 3 1 , 2 0 1 9 , in the amount of $ 1 5 0 , 0 0 0 . This reversing difference will cause deductible amounts of $ 5 5, 0 0 0 in 2 0 2 0 , $...
The weight of a water tank open to the atmosphere is balanced by a counterweight, as shown in Fig. P13??41. There is a 4-cm hole at the bottom of the tank with a discharge coefficient of 0.90, and...
Let L: M22 M22 be the linear transformation defined by L(A) = AT. (a) Find a basis for ker L. (b) Find a basis for range L.
Let L: P2 P2 be defined by L(at2 + bt + c) = ct + b. (a) Find the matrix representing L with respect to the basis S = (t2, 2 + t, 2 - t}. (b) Find the eigenvalues and associated eigenvectors of L?
Perform the indicated operations in Problems 1722. a. 7 + 41, (mod 5) b. 45, (mod 11)
Fluorine Limited (FL), a manufacturer of ships, has entered into the following contracts during the year ended 31 December 2022: (i) On 1 January 2022, FL entered into a contract with Alpha Limited...
The story is rich dad poor dad chapter 3 1) What is rule #1? 2) What is an asset? Give 3 examples. 3) What is the difference between an asset and a liability? 4) According to "Rich Dad", when can a...
Duncan's Diamond Bit Drilling Corporation (Duncan) purchased the following assets in 2023. Assume its taxable income was $60,000 for purposes of computing the 179 expense deduction. Asset Purchase...
The amount of realized gain to be recognized in a tax year is equal to the gross profit multiplied by the ratio of payments received in the current year divided by the total contract price. ...
Show work in terms of time lines or formulas ( No Excel) 4. A investment project generates the following incremental cash inflows over the next 5 years, C = $1.5 million, C = $1.3 million, C3 = $1...
Lipe Company reports the following transactions relating to its stock accounts. Feb. 20 Issued 10,000 shares of $1 par value common stock at $25 cash per share. Feb. 21 Issued 15,000 shares of$100...
For the data in Exercise 17-19, use the FIFO method to summarize total costs to account for, and assign these costs to units completed and transferred out, and to units in ending work in process....
Projectile Motion. A stone thrown downward with an initial velocity of 34.3 m/sec will travel a distance of s meters, where s(t) = 4.9t2 + 34.3t and t is in seconds. If a stone is thrown downward at...
Games in a Sports League. If there are x teams in a sports league and all the teams play each other twice, a total of N(x) games are played, where N(x) = x2 - x. A softball league has 9 teams, each...
Median Home Prices. The median price for an existing home in the United States peaked at $221,900 in 2006 (National Association of REALTORS®). The quartic function h(x) = 56.8328x4 - 1554.7494x3...
How much does the company pay in Dividends in 2023 when running the Base Case Drivers?
A portfolio has a standard deviation of 25%. The correlation of the portfolio and the market is 1. If the risk-free rate is 3.2%, the expected return on the market portfolio is 11%, and the standard...
(6 pts.) The following gas phase reaction system is conducted in an isothermal constant volume batch reactor. The reactor is charged with pure A with an initial concentration CAO AB ri = k CA B D r2...

Let A be a 3 ( 3 matrix with first row [k 0 0] for some nonzero

Question:

Step by Step Answer:

Let Then kI 3 A has its fir...View the full answer

Elementary Linear Algebra with Applications

Students also viewed these Linear Algebra questions