Question: Consider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has (a) Two distinct real eigenvalues,

Consider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has
(a) Two distinct real eigenvalues,
(b) One real eigenvalue, and
(c) No real eigenvalues.

Step by Step Solution

★★★★★

3.44 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

A quadratic equation will have two distinct real roots when its ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

859-L-A-L-S (2512).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Find conditions on a, b, c, and d such that Commutes with both And 0 0 0

In Exercises, if Find conditions on a, b, c, and d such that AB = BA. a. b. c. 1

Find conditions on a, b, c, and d such that Commutes with every 2 Ã 2 matrix 2

How to solve these 3 questions? 1. (2 marks) The 2 x 2 matrix A = has two distinct real eigenvalues. 1. Give the characteristic polynomial for A in Maple notation in the form t 2 + a*t + b...

The 2 x 2 matrix A:(B 1) -14 -3 has two distinct real eigenvalues. 1. Give the characteristic polynomial for A in Maple notation in the form t42 + a*t + b Characteristic polynomial = o 2. Find the...

The 2 x 2 matrix has two distinct real eigenvalues. 1. Give the characteristic polynomial forAin Maple notation in the form t"2 + a*t + b Characteristic polynomial = O 2. Find the set of eigenvalues...

6. (9 points) Let A=(a 1))? Cd and let A = (a d)2 + Abe. Prove that A has two distinct real eigenvalues if A > 0, and A has exactly one real eigenvalue if A = 0. 7. (10 points) Let A be a 3 X 3...

Clier URC Inde C Fine V Oop Cou * Uplc 1 15 B ha.ca th-122-c01-c02 / assignment10 / 18 Previous Problem Problem List Next Problem Assignment10: Problem 18 (1 point) Write the complex number z = -4 +...

1. (1 point) LetA = [8 2 ] andvi =[2 ]. 2-[3] i) Matrix A =_ _ ] vectors of A. ii) The eigenvalues of A: [Note: If there is more than one answer, separate them by commas. E.g. 1,2] Determine the...

Throughout Chapter 3 we have used the harmonic oscillator as an example. We have solved the second- order equation (Section 3.6) and its associated system of equations (Sections 3.2, 3.4, and 3.5) in...

Choose two comparable phones from Motorola and Nokia and examine each product. How does the product form differ between the two products, how are they the same? Now consider the features of the two...

Cite four factors that determine what fabrication technique is used to form polymeric materials.

Prove the accuracy of thecost of goods sold under the FIFO and LIFO methods. Which cost fl ow method results in the highest inventory amount for the balancesheet and the highest cost of goods sold...

Analyze the Canadian labor market data from Breitung et al. (2004) (see www.jmulti.de datasets for the data). The variables are: pt ln productivity, et ln employment, urt unemployment rate, wt ...

Show that e[a, b] e [c,d] for all a

(a) If a (9, 4) linear code has generator matrix G and parity check matrix P, what are the dimensions of G and P? (b) Repeat part (a) for an (n, k) linear code.

Show that if A and B are invertible matrices, then cond (AB) cond (A) cond (B) with respect to any matrix norm.

You've observed the following returns on Crash-n-Burn Computer's stock over the past five years: 12 percent, -12 percent, 19 percent, 24 percent, and 10 percent. Suppose the average inflation rate...

Year Cash Flow 0 -29200 1 11400 2 14100 3 16000 4 13100 5 -9600 Slow Ride Corp. is evaluating a project with the following cash flows: The company uses an interest rate of 9 percent on all of its...

Find the nominal annual rate of interest for the following investment. \ table [ [ Principal , Future Value,Time Due,Frequency of Conversi ] , [ $ 1 7 8 0 . 0 0 , $ 1 8 6 1 . 0 2 , 8 ysars,semi -...