Question

Complex Eigenstuff Compute the eigenvalues and eigenvectors for the given matrix A. List the eigenvalues so...

Complex Eigenstuff Compute the eigenvalues and eigenvectors for the given matrix A. List the eigenvalues so the first one has negative imaginary part. Write the corresponding eigenvectors in the form [u+iv1]. If there is only one eigenvector, leave the entries for the second eigenvalue and eigenvector blank. A=[4 -3 3 4]

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1


0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose A is a real 2x2 matrix with complex eigenvalues α ± i β , β...
Suppose A is a real 2x2 matrix with complex eigenvalues α ± i β , β ≠ 0. It was shown in class that the corresponding eigenvectors will be complex. Suppose that a + i b is an eigenvector for α + i β , for some real vectors a , b . Show that a − i b is an eigenvector corresponding to α − i β . Hint: properties of the complex conjugate may be useful. Please show...
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 0 −3 5...
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 0 −3 5 −4 4 −10 0 0 4 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (λ1, λ2, λ3) = the corresponding eigenvectors x1 = x2 = x3 =
Find the eigenvalues and the eigenvectors corresponding to them of the matrix -2 1 3 0...
Find the eigenvalues and the eigenvectors corresponding to them of the matrix -2 1 3 0 -2 6 0 0 4
find all eigenvalues and eigenvectors of the given matrix A= [3 2 2 1 4 1...
find all eigenvalues and eigenvectors of the given matrix A= [3 2 2 1 4 1 -2 -4 -1]
the Markov chain on S = {1, 2, 3} with transition matrix p is 0 1...
the Markov chain on S = {1, 2, 3} with transition matrix p is 0 1 0 0 1/2 1/2; 1/2 0 1/2 We will compute the limiting behavior of pn(1,1) “by hand”. (A) Find the three eigenvalues λ1, λ2, λ3 of p. Note: some are complex. (B) Deduce abstractly using linear algebra and part (A) that we can write pn(1, 1) = aλn1 + bλn2 + cλn3 for some constants a, b, c. Don’t find these constants yet. (C)...
Answer all of the questions true or false: 1. a) If one row in an echelon...
Answer all of the questions true or false: 1. a) If one row in an echelon form for an augmented matrix is [0 0 5 0 0] b) A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax=b has at least one solution. c) The solution set of b is the set of all vectors of the form u = + p + vh where vh is any solution...
Here are some vectors in R 4 : u1 = [1 3 −1 1] u2 =...
Here are some vectors in R 4 : u1 = [1 3 −1 1] u2 = [1 4 −1 1] u3 = [1 0 −1 1] u4 = [2 −1 −2 2] u5 = [1 4 0 1] (a) Explain why these vectors cannot possibly be independent. (b) Form a matrix A whose columns are the ui’s and compute the rref(A). (c) Solve the homogeneous system Ax = 0 in parametric form and then in vector form. (Be sure the...
C++ program for : 1. Given an array of real numbers and the dimension n (n...
C++ program for : 1. Given an array of real numbers and the dimension n (n is entered from the keyboard). B form an array, each element bi - arithmetic mean of the array elements and excluding ai. 2. Given an array of integers dimension n. Change the array so that all the elements of the module which is not equal to the maximum element of the array, replaced by zero, and equal - unit. 3. Given an array of...
Problem 2: Python 3 Implement a function called gee_whiz that does the following: given argument n,...
Problem 2: Python 3 Implement a function called gee_whiz that does the following: given argument n, a positive integer, it returns a list of n tuples corresponding to the numbers 1 through n (both inclusive): the tuple for the number k consists of k as the first component, and exactly one of the following strings as the second: • the string 'two!' if k is divisible by 2 • the string 'three!' if k is divisible by 3 • the...
Given the following application problem, solve it using the steps 1--5: 1) Declare the variables 2)...
Given the following application problem, solve it using the steps 1--5: 1) Declare the variables 2) Set up a table with rows and columns corresponding to the different quantities talked about 3) Write a system of equations whose solution will provide the answer to the question asked 4) Solve it using a matrix. 5) Interpret your solution. An art teacher finds that colored paper can be bought in three different packages. The first package has 20 sheets of white paper,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT