Question: Given A (10) -2 3 [10] (a) (2%) Without using a calculator, find the complex eigenvalues of A. [10] (b) (4%) Find an eigenvector

Given A (10) -2 3 [10] (a) (2%) Without using a calculator,

Given A (10) -2 3 [10] (a) (2%) Without using a calculator, find the complex eigenvalues of A. [10] (b) (4%) Find an eigenvector associated with each eigenvalue. Remove all fractions and decimals from eigenvectors a -b [10] (c) (4%) Find a real-matric C and an invertible real-matrix P such that A = PCP- b a Remove all fractions and decimals from PA

Step by Step Solution

★★★★★

3.40 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Find the complex eigenvalues and associated eigenvectors for the following matrices. a. b. 2 1 2

Find the complex eigenvalues and associated eigenvectors for the following matrices. a. b. 11 0 201 101 01

Without using a calculator find the value of a. e ln 5 b. e 1/2 ln64 c. 3e ln2 d. -e -ln1/2

a. Given that (x 2 + 4/x) 3 (x 2 4/x) 3 = ax 3 + b/x 3 , find the value of a and the value of b. b. Hence, without using a calculator, find the exact value of (2 + 4/2) 3 (2 4/2) 3 .

Without using a calculator, find the value of x for which a. log 5 x = 4 b. log x 81 = 2 c. log 7 x = 1 d. log 2 (x 1) = 3 e. log 3 (4x + 1) = 4 f. log x (2x) = 2

Without using your calculator find the exact values of: a 2 sin 22.5 cos 22.5 c (sin 75 cos 75) - b 2 cos 15 - 1 d 1 2 tan 8 - tan. 8

Without using a calculator, determine the pH and pOH of each solution. Rank the solutions from most acidic to most basic. a. 1.0 x 10-2 M HCI c. 1.0 x 10-2 M NaOH b. 1.0 x 10-4 M HCI d. 1.0 x 10M NaOH

a. Given that find the value of p and the value of q. b. Hence, without using a calculator, find the exact value of X X + x = ( - x ) - ( + x )

Evaluate the logarithm at the given value of x without using a calculator. Function Value 1. f (x) = log2 x x = 64. 2. f (x) = log25 x x = 5 3. f (x) = log8 x x = 1 4. f (x) = log x x = 10

a. Estimate the pKa value of each of the following acids without using a calculator (i.e., between 3 and 4, between 9 and 10, etc.): 1. Nitrous acid (HNO2), Ka = 4.0 10-4 2. Nitric acid (HNO3), Ka =...

A firm evaluates all of its projects by applying the NPV decision rule. A project under consideration has the following cash flows: Year Cash Flow 0 -$27,800 1 11,800 2 3 14,800 10,800 What is the...

a . Break students into small groups b . Review the following case scenario Sharon Sandhu is an experienced HCA working for a Home Support agency. Sharon has struggled with her weight for many years,...

we created a diagonal from the bottom left corner to the top right corner. Instead, write code that will create a purple diagonal from the top left to the bottom right corner. Hint: try writing the x...

Best Buy's monthly demand for an Olympus Digital Camera FX 5500 is Poisson distributed with a mean of 3 cameras/month. The order quantity is 6 cameras, holding costs are $6.00 per camera per year,...

Q1. In the design of a shower head, a "flow reducer" is installed to conserve water and energy as shown in Figure 1. After installation, the flow rate, Q, is reduced by a factor of 2. Assume the...

Histogram of Wave Heights for Sheet Harbour, Halifax County 20 15- Percent 10 5 0. 0.4 0.8 1.6 2.0 2.4 Wave Height (metres) Location N Mean StDev Minimum Q1 Median Q3 Maximum Lobster Bay 319 0.4966...

Bridgeport Corp. uses a periodic inventory system reports the following for the month of June. Date Explanation Units Unit Cost Total Cost June 1 Inventory 112 $5 $560 12 Purchases 336 6 2016 23...

Complete the following acid-base reactions: (a) HCCH + NaH

Use the following values and four-digit rounding arithmetic to construct a third Lagrange polynomial approximation to f (1.09). The function being approximated is f (x) = log10(tan x). Use this...

Find the third Taylor polynomial P3(x) for the function f (x) = (x + 1) about x0 = 0. Approximate 0.5, 0.75, 1.25, and 1.5 using P3(x), and find the actual errors.

a. Use three-digit chopping arithmetic to compute the sum first by 1/1 + 1/4 + + 1/100 and then by 1/100 + 1/81+ + 1/1 . Which method is more accurate, and why? b. Write an algorithm to sum the...

24. In which way do men and women differ mostintellectual performance, total gray matter, or total white matterpg105

20. Suppose someone demonstrates that a particular brain area becomes active when people are listening to music. When that area becomes active later, what, if anything, can we concludepg105

2. Examine the effects of stimulating a brain area. Ideally, if damaging some area impairs a behavior, stimulating that area should enhance the behavior.