Question: Let and Verify that v 1 and v 2 are eigenvectors of A. Then orthogonally diagonalize A. A = 3 -1 1 3 -1 3

Let A = 3 -1 1 3 -1 3 -1 1 -1 V and = 0 1Verify that v1 and v2 are eigenvectors of A. Then orthogonally diagonalize A.

A = 3 -1 1 3 -1 3 -1 1 -1 V = 0 1

Step by Step Solution

★★★★★

3.37 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

1 2 1 One may compute that A 0 HA 1 2 1 with associated eig... View full answer

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 Linear Algebra And Its Applications Questions!

Q:

The City Council of the City of Eastover adopted the following budget for its General Fund for 20X8. The budget was not revised during the fiscal year. The budgetary basis was modified accrual. City...

Q:

Let A be a symmetric matrix (that is, A = AT) with distinct eigenvalues λ1 and λ2. For such a matrix, if v1 and v2 are eigenvectors belonging to the distinct eigenvalues...

Q:

Orthogonally diagonalize the matrices in Exercises 1-3 by finding an orthogonal matrix Q and a diagonal matrix D such that QT AQ = D. 1. 2. 3. 1 1 3 0 2

Q:

Let u and v be the vectors shown in the figure, and suppose u and v are eigenvectors of a 2 x 2 matrix A that correspond to eigenvalues 2 and 3, respectively. Let T: R2 R2 be the linear...

Q:

Consider the matrix A 1 1 5 2. (REQUIRED) Consider the matrix A = 1 5 The matrix has eigenvalues of -4, 4, and 7. The 5 corresponding eigenvectors are X()=-4) = 0 ,X(X=() = -2 and x()=7) = (a) (2...

Q:

NO. 3 week9-week11 Student Full Name:___________________________________ . Student ID:__________________________________________ . CRN No:____________________________________________ . Branch:...

Q:

Task 3 please import numpy as np import matplotlib.pyplot as plt %matplotlib inline X_all = np.load(open('X_train.npy', 'rb')) Y_all = np.load(open('Y_train.npy', 'rb')) # print(X_all.shape) #...

Q:

Task 3 please Task 3 please Task 3 please Task 3 please Task 3 please import numpy as np import matplotlib.pyplot as plt %matplotlib inline X_all = np.load(open('X_train.npy', 'rb')) Y_all =...

Q:

3 Learning DNFs with kernel perceptron Suppose that we have s = {(10,y)}, with 20 {0,134 and y() {-1,1). Let y: {0,1} + {0,1} be a "target function" which "labels" the points. Additionally assume...

Q:

This is Linear algebra. Provide clear and readable solution thank you. 1. Given is matrix A = [4 6 10 3 10 13 - 2 - 6 - 8 ], with eigenvalues 2, = 0; 2, = 2; 12 = 4. The eigenvector for 2, = 0 is V =...

Q:

Math 136 Spring 2017: Assignment 2 (Due Wednesday, May 17, 8pm) Topics: Section 1.1, 1.3, 1.4, bases, subspaces, dot product, norms. 1. Determine with proof which of the following are subspaces of R3...

Q:

Time in a Bottle Company (TBC) manufactures plastic two- liter bottles for the beverage industry. The cost standards per 100 two-liter bottles are as follows: Standard Cost Cost Category per 100...

Q:

2. a. Is A {o, (0), (1), (1, 1), (2, 2), (2, 1)} hierarchical? Justify your answer. b. Is B {6, (0), (1), (2), (3)} hierarchical? Justify your answer.

Q:

life insurance used in nonqualified plan is considered an informal funding tool Therefore, the plan is A funded B illegal C taxed as an unfunded plan D expensive

Q:

Differentiate between three ways of encoding/decoding messages, using preferred, negotiated, or oppositional codes

Q:

Reconsider the previous two exercises and the Legos data file. The equation of the least squares line turns out to be price 5 4.86 + 0.105 pieces, and the value of r 2 = 0.949. Identify which of the...

Q:

Reconsider the previous three exercises and the Legos data file. The equation of the least squares line turns out to be price = 4.86 + 0.105 pieces, and the value of r 2 = 0.949. Identify which of...

Q:

Reconsider the previous four exercises and the Legos data file. a. Determine the predicted price for a product with 500 pieces. b. Determine the predicted price for a product with 1,500 pieces. c....

Q:

compute the 20X5 cost of goods manufacterd and the cost of goods sold for strike marine company using the following amounts: Beginning of year end of year Materials inventory 25000 28000 work in...

Q:

Which of the items below would appear in the Income Statement columns of the work sheet? (Points : 2) Equipment Unearned Fees Prepaid Expense Net Loss

Q:

Which of the following accounts would not be affected if a company failed to report returns of merchandise sold? a. Sales returns b. Sales allowances c. Cost of goods sold d. inventory