Let (i). Write down necessary and sufficient conditions on the entries a, b, c, d that ensures
Question:
Let
(i). Write down necessary and sufficient conditions on the entries a, b, c, d that ensures that A has only real eigenvalues.
(ii).Verify that all symmetric 2 × 2 matrices satisfy your conditions.
(iii). Note down a non-symmetric matrix that full fill your conditions.
Transcribed Image Text:
a A = c d
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 84% (13 reviews)
i The characteristic equation p 2 a d ad bc 0 has real roots if ...View the full answer
Answered By
Rodrigo Louie Rey
I started tutoring in college and have been doing it for about eight years now. I enjoy it because I love to help others learn and expand their understanding of the world. I thoroughly enjoy the "ah-ha" moments that my students have. Interests I enjoy hiking, kayaking, and spending time with my family and friends. Ideal Study Location I prefer to tutor in a quiet place so that my students can focus on what they are learning.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
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...
-
Consider the weighted inner product (v, w) = v1w1 + 1/2v2w2 + 1/3v3w3 on R3. (a) What are the conditions on the entries of a 3 3 matrix A in order that it be self-adjoint? (b) Write down an example...
-
Answer Exercise 7.5.12 for the inner product based on Exercise 7.5.12 Consider the weighted inner product (v, w) = v1w1 + 1/2v2w2 + 1/3v3w3 on R3. (a) What are the conditions on the entries of a 3...
-
IfAUB=AUC and An B=An C, then B = C. Statement-2 AU (BOC) = (AUB) n (AUC)
-
Armington, while robbing a drugstore, shot and seriously injured Jennings, a drugstore clerk. Armington was subsequently convicted of armed robbery and assault and battery in a criminal trial....
-
Under which perspective of the balanced scorecard would you classify each of the following measurements? a. On-time delivery to customers b. Time to develop the next generation of products c....
-
The rigid beam is supported by a pin at A and two steel wires, each having a diameter of 4 mm. If the yield stress for the wires is y = 530 MPa, and E st = 200 GPa, determine the intensity of the...
-
The pretax financial income (or loss) figures for Jenny Spangler Company are as follows. 2002 .......$160,000 2003 .........250,000 2004 ...........80,000 2005 ........(160,000) 2006...
-
What is the financial impact (financial/fiscal ramnification of artificial intelligence (AI)) on the econonly and jobs starting with federal or legislative statutes or regualtions and its influences...
-
Jimmy owns a garden in which he has planted N trees in a row. After a few years, the trees have grown up and now they have different heights. Jimmy pays much attention to the aesthetics of his...
-
Use Exercise 8.4.45 to find the minimum and maximum of the following rational functions: (a) 3x2 + 2y2 / 4x2 + 5y2 (b) x2 - x y + 2y2 / 2x2 - xy + y2 (c) 2x2 + 3y2 + z2 / x2 + 3y2 + 2z2 (d) 2x2 + 6xy...
-
Let AT = -A be a real, skew-symmetric n n matrix. (a) Prove that the only possible real eigenvalue of A is = 0. (b) More generally, prove that all eigenvalues of A are purely imaginary, i.e., Re ...
-
Develop an advertisement for the following for each of the four female market segments described in the chapter. a) Bicycles b) iPad c) Exercise equipment d) Breakfast cereal e) Vacation cruises f)...
-
The text states that additive increase is a necessary condition for a congestion control mechanism to be stable. Outline a specific instability that might arise if all increases were exponential;...
-
Table 3.22 is a routing table using CIDR. Address bytes are in hexadecimal. The notation /12 in C4.50.0.0/12 denotes a netmask with 12 leading 1 bits, that is, FF.F0.0.0. Note that the last three...
-
Consider the sliding window algorithm with SWS = RWS = 3, with no out-of-order arrivals, and with infinite-precision sequence numbers. (a) Show that if DATA[6] is in the receive window, then DATA[0]...
-
In Problems 25-40, decide on a reasonable means for conducting the survey to obtain the desired information. A pet store would like to use a survey to determine which factors are most important to...
-
Suppose two subnets share the same physical LAN; hosts on each subnet will see the other subnets broadcast packets. (a) How will DHCP fare if two servers, one for each subnet, coexist on the shared...
-
For the following exercises, simplify each expression. Do not evaluate. cos 2 (28) sin 2 (28)
-
The trade-off theory relies on the threat of financial distress. But why should a public corporation ever have to land in financial distress? According to the theory, the firm should operate at the...
-
Consider the soil absorption data in Exercise 12-2. (a) Find a 95% confidence interval on the regression coefficient B1. (b) Find a 95% confidence interval on mean soil absorption index when x1 = 200...
-
Consider the NFL data in Exercise 12-4. (a) Find a 95% confidence interval on B8. (b) What is the estimated standard error of when x2 = 2000 yards, x7 = 60%, and x8 = 1800 yards? (c) Find a 95%...
-
Consider the gasoline mileage data in Exercise 12-5. (a) Find 99% confidence intervals on B1 and B6. (b) Find a 99% confidence interval on the mean of Y when x1 = 300 and x6 = 4. (c) Fit a new...
-
Assume that we have a Ridge regression problem with only one predictor, and the true model is linear without an intercept, i.e. Y = X + e. Assume that we have In samples, (xi, y), (x2, Y2), . . .,...
-
Please write a program that calculates the final score of multiple students using different weight of exams and assign their final grade using the following criteria: If the average grade is 90 or...
-
Write a program to create a file named "MyFile.txt". Store the following information in the file. Name Mlido Zodwa Phumla Tom Surname Samsons Bardwell Harrison Mpisane ITS Number 402106372 402103053...
Study smarter with the SolutionInn App