Homework Answers
Add Answer to:
13. Use three iterations of the power method to estimate the largest eigenvalue and corresponding eigenvector...
Find the eigenvalues. Find an eigenvector corresponding to each eigenvalue. Do this first by hand...
Find the eigenvalues. Find an eigenvector corresponding to each eigenvalue. Do this first by hand and then use whatever technology you have available to check your results. Remember that any constant multiple of the eigenvector you find will also be an eigenvector. (Order eigenvalues from smallest to largest real part, then by imaginary part.) D = 1 −9 9 −17
3. For matrix 2 2 3 x Power me+hod A 2 4 5 L3 5 7 use the power method to estimate the eigenvalue of greatest absolute value and a malized eigenvector. Note that I'm not asking what Wolfram A...
3. For matrix 2 2 3 x Power me+hod A 2 4 5 L3 5 7 use the power method to estimate the eigenvalue of greatest absolute value and a malized eigenvector. Note that I'm not asking what Wolfram Alpha or Matlab or whatever says the answer is. I want to know how the power method acts. Does it converge quickly? Slowly? Not at all?
3. For matrix 2 2 3 x Power me+hod A 2 4 5 L3 5...
code in matlab 1. [2+1+1pt] Power Method and Inverse Iteration. (a) Implement the Power Method. Use...
code
in matlab
1. [2+1+1pt] Power Method and Inverse Iteration. (a) Implement the Power Method. Use your code to find an eigenvector of -2 1 4 A= 1 1 2 4 1 -2 starting with Xo = (1, 2, -1)7 and Xo = (1, 2, 1)7. Report the first 5 iterates for each of the two initial vectors. Then use MATLAB's eig(A) to examine the eigenvalues and eigenvectors of A. Where do the sequences converge to? Why do the limits...
Find a set of linearly independent eigenvectors for the given matrices. Use the power method to...
Find a set of linearly independent eigenvectors for the given
matrices.
Use the power method to locate the dominant eigenvalue
and a corresponding eigenvector for the given matrices. Stop after
five iterations.
13. 0 1 0 0 0 10 00 0 1 14 6 4 「10 001 121 11 15。 112 21 1112 1. 23 . 「3 00 7. 12 26 6 4 2 35
(a) Write the following function in Matlab [eval, evec] -power method (A, x, tol) The inputs...
(a) Write the following function in Matlab [eval, evec] -power method (A, x, tol) The inputs are a matrix A, an initial starting vector r, and tolerance tol. The return value is an approximation to the largest eigenvalue (eval) of A, and the corresponding normalized eigenvector (evec) Your power method implementation should halt (i.e., converge) when this cri- teria is met: where (k) is the current approximate (normalized) eigenvector after k itera- tions. (Note that the "sign" of r() and...
Plus: DE 1) Given the matrix A = and define the dominant eigenvalue as the largest...
Plus: DE 1) Given the matrix A = and define the dominant eigenvalue as the largest eigenvalue of matrix A. (a) Use the Power Method with starting vector x, =1, to show that the dominant eigenvector of A rounded to one decimal place is con= Show each iteration in a tabular form. Use the table to determine the dominant eigenvalue. (b) Use the Rayleigh quotient in problem 2.5 to determine the dominant eigenvalue and compare with part (a). ogte w...
NEED HELP WITH PROBLEM 1 AND 2 OF THIS LAB. I NEED TO PUT IT INTO...
NEED HELP WITH PROBLEM 1 AND 2 OF THIS LAB. I NEED TO PUT IT
INTO PYTHON CODE! THANK YOU!
LAB 9 - ITERATIVE METHODS FOR EIGENVALUES AND MARKOV CHAINS 1. POWER ITERATION The power method is designed to find the dominant' eigenvalue and corresponding eigen- vector for an n x n matrix A. The dominant eigenvalue is the largest in absolute value. This means if a 4 x 4 matrix has eigenvalues -4, 3, 2,-1 then the power method...
Use three iterations of the secant method to find an approximate solution of the equation cos(1.6x)=1/2xˆ4...
Use three iterations of the secant method to find an approximate solution of the equation cos(1.6x)=1/2xˆ4 -10 if your initial estimates are x0 = 2.36 and x1 = 2.66 Maintain at least eight digits throughout all your calculations. When entering your final result you MAY round your estimate to five decimal digit accuracy. For example 1.67353 YOU DO NOT HAVE TO ROUND YOUR FINAL ESTIMATE. x4 =
Intro Step 11 We will be working with the following matrix [1 2 3 0 0...
Intro Step 11
We will be working with the following matrix [1 2 3 0 0 0 0 2 1 2 3 0 0 0 3 2 1 2 3 0 0 0 3 2 1 2 3 0 0 0 3 2 1 2 3 0 0 0 3 2 1 2 0 0 0 0 3 2 1 0 0 0 0 0 3 2 0] 0 0 0 0 3 2 1 Use MATLAB to find the...
B3. Newton Cotes Method (student) [33 pts] 3) Use the Newton-Cotes formula f(x)-x) i-0 to estimate the integral -3x...
B3. Newton Cotes Method (student) [33 pts] 3) Use the Newton-Cotes formula f(x)-x) i-0 to estimate the integral -3x -1 with 5 evenly spaced grid points (compare to your reference value). (Hint: Use the method of undetermined coefficients to solve for the A, by substituting in f : i, x, x2, X3, X4 and demanding that the result of the integral be exact) Repeat with 7 and 9 points. Comment on the improvement to yeur approximations. My Report. Your discussion...
3. For matrix 2 2 3 x Power me+hod A 2 4 5 L3 5 7 use the power method to estimate the eigenvalue of greatest absolute value and a malized eigenvector. Note that I'm not asking what Wolfram Alpha or Matlab or whatever says the answer is. I want to know how the power method acts. Does it converge quickly? Slowly? Not at all?
3. For matrix 2 2 3 x Power me+hod A 2 4 5 L3 5...
code
in matlab
1. [2+1+1pt] Power Method and Inverse Iteration. (a) Implement the Power Method. Use your code to find an eigenvector of -2 1 4 A= 1 1 2 4 1 -2 starting with Xo = (1, 2, -1)7 and Xo = (1, 2, 1)7. Report the first 5 iterates for each of the two initial vectors. Then use MATLAB's eig(A) to examine the eigenvalues and eigenvectors of A. Where do the sequences converge to? Why do the limits...
Find a set of linearly independent eigenvectors for the given
matrices.
Use the power method to locate the dominant eigenvalue
and a corresponding eigenvector for the given matrices. Stop after
five iterations.
13. 0 1 0 0 0 10 00 0 1 14 6 4 「10 001 121 11 15。 112 21 1112 1. 23 . 「3 00 7. 12 26 6 4 2 35
(a) Write the following function in Matlab [eval, evec] -power method (A, x, tol) The inputs are a matrix A, an initial starting vector r, and tolerance tol. The return value is an approximation to the largest eigenvalue (eval) of A, and the corresponding normalized eigenvector (evec) Your power method implementation should halt (i.e., converge) when this cri- teria is met: where (k) is the current approximate (normalized) eigenvector after k itera- tions. (Note that the "sign" of r() and...
Plus: DE 1) Given the matrix A = and define the dominant eigenvalue as the largest eigenvalue of matrix A. (a) Use the Power Method with starting vector x, =1, to show that the dominant eigenvector of A rounded to one decimal place is con= Show each iteration in a tabular form. Use the table to determine the dominant eigenvalue. (b) Use the Rayleigh quotient in problem 2.5 to determine the dominant eigenvalue and compare with part (a). ogte w...
NEED HELP WITH PROBLEM 1 AND 2 OF THIS LAB. I NEED TO PUT IT
INTO PYTHON CODE! THANK YOU!
LAB 9 - ITERATIVE METHODS FOR EIGENVALUES AND MARKOV CHAINS 1. POWER ITERATION The power method is designed to find the dominant' eigenvalue and corresponding eigen- vector for an n x n matrix A. The dominant eigenvalue is the largest in absolute value. This means if a 4 x 4 matrix has eigenvalues -4, 3, 2,-1 then the power method...
Intro Step 11
We will be working with the following matrix [1 2 3 0 0 0 0 2 1 2 3 0 0 0 3 2 1 2 3 0 0 0 3 2 1 2 3 0 0 0 3 2 1 2 3 0 0 0 3 2 1 2 0 0 0 0 3 2 1 0 0 0 0 0 3 2 0] 0 0 0 0 3 2 1 Use MATLAB to find the...
B3. Newton Cotes Method (student) [33 pts] 3) Use the Newton-Cotes formula f(x)-x) i-0 to estimate the integral -3x -1 with 5 evenly spaced grid points (compare to your reference value). (Hint: Use the method of undetermined coefficients to solve for the A, by substituting in f : i, x, x2, X3, X4 and demanding that the result of the integral be exact) Repeat with 7 and 9 points. Comment on the improvement to yeur approximations. My Report. Your discussion...
Most questions answered within 3 hours.
-
Consider the following description:
"University consists of a number of schools. Each school offers
several distinct...
asked 18 minutes ago -
Part A)
What mass of silver chloride can be produced from 1.12 L of a
0.296...
asked 13 minutes ago -
Evidence indicates that inadequate rest and sleep may shorten
your life span by approximately
Group of...
asked 14 minutes ago -
A camera is equipped with a lens with a focal length of 22 cm.
When an...
asked 19 minutes ago -
Two vertical, long, straight wires each carry a current of 4.89
A in the upward direction...
asked 11 minutes ago -
5. Construct the full model with an LRAS, a SRAS, and an AD
curve. Discuss the...
asked 29 minutes ago -
Write a C++ program to manage a Point of Sale System for a
Supermarket. The main...
asked 27 minutes ago -
Lean was started as:
An offshoot of the quality movement after WWII
As Toyota wanted to...
asked 29 minutes ago -
Which of the following species can be regarded as electron
deficient? Justify your answer in terms...
asked 31 minutes ago -
At t=0 a grinding wheel has an angular velocity of 24.0 rad/s .
It has a...
asked 35 minutes ago -
Please explain the following problem. I've tried several
different approaches and nothing is working.
An electron...
asked 36 minutes ago -
A guitar string is 90 cm long and has a mass of 3.8 g . The...
asked 37 minutes ago