Write down a real matrix that has (a) Eigenvalues 1, 3 and corresponding eigenvectors (b) Eigenvalues 0, 2, 2 and associated eigenvecors (c) An eigenvalue of 3 and corresponding eigenvectors (d) An eigenvalue 1 2i and corresponding eigenvector (e) An eigenvalue 2 and corresponding eigenvecor (f) An...

Use the formula A SS 1 For parts ...

Write down a real matrix that has (a) Eigenvalues -1, 3 and corresponding eigenvectors (b) Eigenvalues 0,

Question:

Write down a real matrix that has
(a) Eigenvalues -1, 3 and corresponding eigenvectors

(b) Eigenvalues 0, 2, -2 and associated eigenvecors

(d) An eigenvalue -1 + 2i and corresponding eigenvector

(e) An eigenvalue -2 and corresponding eigenvecor

(f) An eigenvalue 3 + i and corresponding eigenvector

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

Step by Step Answer:

Related Book For book-img-for-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

See More Books

Question Posted: Jun 17, 2016 09:07 AM

See More Questions

(a) Show that if A is a matrix such that A4 = I. then the only possible eigenvalues of A are 1. -1, i and -i. (b) Give an example of a real matrix that has all four numbers as eigenvalues.
An n Ã n circulant matrix has the form in which the entries of each succeeding row are obtained by moving all the previous row's entries one slot to the right, the last entry moving to the...
Let (a) Write down necessary and sufficient conditions on the entries a, b, c, d that ensures that A has only real eigenvalues. (b) Verify that all symmetric 2 Ã 2 matrices satisfy your...
Repeat Example 13.1, but for electrophilic substitution at C-2 or C-4 of pyridine. Explain why substitution at C-3 (eq. 13.2) is preferred. 4 H
The United States has the strictest product liability laws in the world today. Why do you think many other countries, particularly developing countries, are more lax with respect to holding...
Citric acid (C 6 H 8 O 7 ) is used in the preparation of many foods, pharmaceuticals, soft drinks, and personal-care products. Although it can be recovered by concentration and crystallization from...
Analyze the main reasons for HRIS implementation failure. How can we prevent these from affecting us?
Idaho Food Processors processes potatoes into french fries. Production requires two processes: cutting and cooking. Direct materials are added at the beginning of the cutting process (potatoes) and...
(1) Using 3 half-adders, implement the following functions: 1) D=ABOC 2) A'BC + AB'C 3) ABC' + (A'+B')C 4) G = ABC
Mark Lawrencethe man with two first nameshas been pursuing a vision for more than two years. This pursuit began when he became frustrated in his role as director of human resources at Cutting Edge, a...
Diagonalize the following complex matrices: (a) (b) (c) (d) G 1) 0 2 3-1 2:0) 1 0 -i
A matrix A has eigenvalues -1 and 2 and associated eigenvectors Write down the matrix form of the linear transformation L[u] = A u in terms of (a) The standard basis e1, e2; (b) The basis consisting...
How can you show that the statement, "If you play a sport, then you wear a helmet." is false? Explain.
A body is released from rest and travels the last half of the total distance fallen precisely one second. How far did the body fall and how long did it take to fall the omplete distance? Ignore air...
6. Calculate the intensity of magnetic field at the centre of the square, if square's side is 10 cm and I= 1,5 A. (show the solution!) [3]
A) How far along have electric vehicles progressed regarding the Diffusion of Innovation? What are the characteristics of the furthest group electric vehicles have reached? Why
You have a single - slit diffraction apparatus, with a slit 4 . 6 0 \ times 1 0 ^ - 6 m wide arranged 1 . 8 0 m from the screen. You would like an ANTI - NODE to appear 6 8 . 2 cm from the right...
A spherical vessel (diameter = 2.5 cm) when empty has a mass of 2.78 g. What is the greatest volume of rhater that can be placed in the vessel and still have the vessel float at the surface of...
In 44 of the 68 years from 1950 through 2018 (in 2011 there was virtually no change), the S&P 500 finished higher after the first five days of trading. In 36 out of 44 years, the S&P 500 finished...
Explain the term "Equivalent Units". Why are they calculated in process costing? [4 Marks] [minimum 350 words]
Consider the gear impact strength data in Exercise 10-22. Is there sufficient evidence to conclude that the variance of impact strength is different for the two suppliers? Use a = 0.05.
Consider the melting point data in Exercise 10-25. Do the sample data support a claim that both alloys have the same variance of melting point? Use a = 0.05 in reaching your conclusion.
Exercise 10-28 presented measurements of plastic coating thickness at two different application temperatures. Test H0: 2/1 = 2/2 against H1: 2/1  2/2 using a = 0.01.
Assume that Pope Enterprises held a $10,000, 10 percent, six-month note signed by Mary Drew. On December, 1, 2015, the maturity date, Drew dishonored the note. At this point, Drew owes a total of...
5. Consider the shape shown on the following graph and the brute force method of solving the convex hull problem 2 -2 -1 0 a. Label all the points that will be provided to the algorithm as input. You...
2. A project requires $150 million investment. If you invest today, the present value of future cash flow is worth $180 million. You can wait for one year to observe the demand of the market;...

Write down a real matrix that has (a) Eigenvalues -1, 3 and corresponding eigenvectors (b) Eigenvalues 0,

Question:

013 211 2 2 201

Step by Step Answer:

Use the formula A SS 1 For parts ...View the full answer

Applied Linear Algebra

Students also viewed these Linear Algebra questions