Please answer parts a, b, c
Consider the matrix:
A = [1 4 0; 3 -3 3; 0 0 3]
(a) Find the eigenvalues of A.
(b) For each eigenvalue of A, find the eigenvectors of A.
(c) Find the algebraic and geometric multiplicities of each eigenvalue of A.
Homework Answers
Request Answer!
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Please show steps and have good handwriting. Don't copy please. I will give you a thumb...
Please show steps and have good handwriting. Don't copy please.
I will give you a thumb up. Thank you!!!
Find the eigenvalues and eigenvectors of the following matrices. State the algebraic and geometric multiplicities of each eigenvalue. 1 a. (21) 1 1 2 b. 2 1 1 c. -1 1 4 03 0 0 1
Let A be the matrix To 1 0] A= -4 4 0 1-2 0 1 (a)...
Let A be the matrix To 1 0] A= -4 4 0 1-2 0 1 (a) Find the eigenvalues and eigenvectors of A. (b) Find the algebraic multiplicity an, and the geometric multiplicity, g, of each eigenvalue. (c) For one of the eigenvalues you should have gi < az. (If not, redo the preceding parts!) Find a generalized eigenvector for this eigenvalue. (d) Verify that the eigenvectors and generalized eigenvectors are all linearly independent. (e) Find a fundamental set of...
Determine the algebraic and geometric multiplicities of the eigenvalues for the following matrix. B = 13...
Determine the algebraic and geometric multiplicities of the eigenvalues for the following matrix. B = 13 71 has characteristic equation (3-1)(6 - 1) = 0 LO 6] First determine the eigenvalues, order them from smallest to greatest: 11 = 12 = Now determine the algebraic and geometric multiplicities for each eigenvalue above. You can do this with direct computation or using any of the theorems discussed in class to avoid computation. ab(11) = YB(11) = ab(12) = YB(12) = We...
5. Consider the matrix A-1-6-7-3 Hint: The characteristic polynomial of A is p(λ ) =-(-2)0+ 1)2....
5. Consider the matrix A-1-6-7-3 Hint: The characteristic polynomial of A is p(λ ) =-(-2)0+ 1)2. (a) Find the eigenvalues of A and bases for the corresponding eigenspaces. (b) Determine the geometric and algebraic multiplicities of each eigenvalue and whether A is diagonalizable or not. If it is, give a diagonal matrix D and an invertible matrix S such that A-SDS-1. If it's not, say why not.
5. Let -2 0 2AA8 (a) Show thatis an eigenvector of A. What is its eigenvalue? (b) By solving (A+2/)x 0, show that -2 is an eigenvalue of A. (c) Use the results of parts (a) and (b) to write down all...
5. Let -2 0 2AA8 (a) Show thatis an eigenvector of A. What is its eigenvalue? (b) By solving (A+2/)x 0, show that -2 is an eigenvalue of A. (c) Use the results of parts (a) and (b) to write down all eigenvalues of A along with their algebraic and geometric multiplicities. Is A diagonalizable? (Note: This question does not require finding eigenvalues by solving det(A XI) 0)
5. Let -2 0 2AA8 (a) Show thatis an eigenvector of A....
Question 1: Question 2: Thx, will give a thumb Determine the algebraic and geometric multiplicity of...
Question 1:
Question 2:
Thx, will give a thumb
Determine the algebraic and geometric multiplicity of each eigenvalue of the matrix. 2 3 3 3 2 3 3 3 2 Identify the eigenvalue(s). Select the correct choice below and fill in the answer box(es) to complete your choice. O A. There is one distinct eigenvalue, 1 = OB. There are two distinct eigenvalues, hy and 12 (Use ascending order.) OC. There are three distinct eigenvalues, 14 , 22 = (Use...
Find the eigenvalues and their eigenvectors and eigenspace for each matrix listed below. If the algebraic...
Find the eigenvalues and their eigenvectors and eigenspace for
each matrix listed
below. If the algebraic multiplicity of a eigenvalue is greater
than one, nd the
geometric multiplicity as well for that eigenvalue. (There are C
and D).
3
4. Consider the following matrix [1 0 -27 A=000 L-2 0 4] (a) (3 points) Find...
4. Consider the following matrix [1 0 -27 A=000 L-2 0 4] (a) (3 points) Find the characteristic polynomial of A. (b) (4 points) Find the eigenvalues of A. Give the algebraic multiplicity of each eigenvalue (c) (8 points) Find the eigenvectors corresponding to the eigenvalues found in part (b). (d) (4 points) Give a diagonal matrix D and an invertible matrix P such that A = PDP-1 (e) (6 points) Compute P-and verify that A= PDP- (show your steps).
only do (e)-(g) The linear operator L : R3 + R3 is given by its matrix...
only do (e)-(g) The linear operator L : R3 + R3 is given by its matrix A = Al,s wit respect to the standard basis S = {(1, 22, 23}, where To 0 11 -10- 20 [4 00 (a) Find the characteristic polynomial PL(x) of L; (b) What are the eigenvalues of L and what are their algebraic multiplicities? (e) What are the geometric multiplicities of eigenvalues of L? Is L diagonal- izable? (d) Find a basis B of eigenvectors...
3 For each of the matrices below: (i) Find the characteristic polynomial (ii) Determine the eigenvalues...
3 For each of the matrices below: (i) Find the characteristic polynomial (ii) Determine the eigenvalues (ii Find a basis for each eigenspace (iv) Find the algebraic and geometric multiplicities of the eigenvalues (v) Determine if the matrix is diagonalizable, and if it is, diagonalize it. -2 3 (a) A -3 2
3 For each of the matrices below: (i) Find the characteristic polynomial (ii) Determine the eigenvalues (ii Find a basis for each eigenspace (iv) Find the algebraic and...
Please show steps and have good handwriting. Don't copy please.
I will give you a thumb up. Thank you!!!
Find the eigenvalues and eigenvectors of the following matrices. State the algebraic and geometric multiplicities of each eigenvalue. 1 a. (21) 1 1 2 b. 2 1 1 c. -1 1 4 03 0 0 1
Let A be the matrix To 1 0] A= -4 4 0 1-2 0 1 (a) Find the eigenvalues and eigenvectors of A. (b) Find the algebraic multiplicity an, and the geometric multiplicity, g, of each eigenvalue. (c) For one of the eigenvalues you should have gi < az. (If not, redo the preceding parts!) Find a generalized eigenvector for this eigenvalue. (d) Verify that the eigenvectors and generalized eigenvectors are all linearly independent. (e) Find a fundamental set of...
Determine the algebraic and geometric multiplicities of the eigenvalues for the following matrix. B = 13 71 has characteristic equation (3-1)(6 - 1) = 0 LO 6] First determine the eigenvalues, order them from smallest to greatest: 11 = 12 = Now determine the algebraic and geometric multiplicities for each eigenvalue above. You can do this with direct computation or using any of the theorems discussed in class to avoid computation. ab(11) = YB(11) = ab(12) = YB(12) = We...
5. Consider the matrix A-1-6-7-3 Hint: The characteristic polynomial of A is p(λ ) =-(-2)0+ 1)2. (a) Find the eigenvalues of A and bases for the corresponding eigenspaces. (b) Determine the geometric and algebraic multiplicities of each eigenvalue and whether A is diagonalizable or not. If it is, give a diagonal matrix D and an invertible matrix S such that A-SDS-1. If it's not, say why not.
5. Let -2 0 2AA8 (a) Show thatis an eigenvector of A. What is its eigenvalue? (b) By solving (A+2/)x 0, show that -2 is an eigenvalue of A. (c) Use the results of parts (a) and (b) to write down all eigenvalues of A along with their algebraic and geometric multiplicities. Is A diagonalizable? (Note: This question does not require finding eigenvalues by solving det(A XI) 0)
5. Let -2 0 2AA8 (a) Show thatis an eigenvector of A....
Question 1:
Question 2:
Thx, will give a thumb
Determine the algebraic and geometric multiplicity of each eigenvalue of the matrix. 2 3 3 3 2 3 3 3 2 Identify the eigenvalue(s). Select the correct choice below and fill in the answer box(es) to complete your choice. O A. There is one distinct eigenvalue, 1 = OB. There are two distinct eigenvalues, hy and 12 (Use ascending order.) OC. There are three distinct eigenvalues, 14 , 22 = (Use...
Find the eigenvalues and their eigenvectors and eigenspace for
each matrix listed
below. If the algebraic multiplicity of a eigenvalue is greater
than one, nd the
geometric multiplicity as well for that eigenvalue. (There are C
and D).
3
4. Consider the following matrix [1 0 -27 A=000 L-2 0 4] (a) (3 points) Find the characteristic polynomial of A. (b) (4 points) Find the eigenvalues of A. Give the algebraic multiplicity of each eigenvalue (c) (8 points) Find the eigenvectors corresponding to the eigenvalues found in part (b). (d) (4 points) Give a diagonal matrix D and an invertible matrix P such that A = PDP-1 (e) (6 points) Compute P-and verify that A= PDP- (show your steps).
only do (e)-(g) The linear operator L : R3 + R3 is given by its matrix A = Al,s wit respect to the standard basis S = {(1, 22, 23}, where To 0 11 -10- 20 [4 00 (a) Find the characteristic polynomial PL(x) of L; (b) What are the eigenvalues of L and what are their algebraic multiplicities? (e) What are the geometric multiplicities of eigenvalues of L? Is L diagonal- izable? (d) Find a basis B of eigenvectors...
3 For each of the matrices below: (i) Find the characteristic polynomial (ii) Determine the eigenvalues (ii Find a basis for each eigenspace (iv) Find the algebraic and geometric multiplicities of the eigenvalues (v) Determine if the matrix is diagonalizable, and if it is, diagonalize it. -2 3 (a) A -3 2
3 For each of the matrices below: (i) Find the characteristic polynomial (ii) Determine the eigenvalues (ii Find a basis for each eigenspace (iv) Find the algebraic and...
Most questions answered within 3 hours.
-
You follow the lab procedure and at the end of Part 4C, you used
an average...
asked 3 minutes ago -
Write 250-450 words, about the following: • Analyze how a
servant leader in your organization or...
asked 7 minutes ago -
3. American and Japanese workers can each produce 4 cars a
year. An American worker can...
asked 10 minutes ago -
On October 1, 20X1, a company purchased a piece of land by
agreeing to pay the...
asked 22 minutes ago -
Jamie is doing a survey at her school about whether the students
feel the cafeteria food...
asked 27 minutes ago -
What are the roles of 3' and 5' untranslated regions in
mRNAs?
asked 28 minutes ago -
A domestic television receives antenna delivers a sky noise
power of -105 dBm to a matched...
asked 27 minutes ago -
What do you think are the chemical reactions involved in the
breathalyzer tests administered to potentially...
asked 42 minutes ago -
A random sample of 120 observations produces a mean of
38.2 from a population with a...
asked 49 minutes ago -
The average area of land burned by forest fires every year in
Canada is 2.5 million...
asked 51 minutes ago -
36. The basic difference between government bureaus and market
firms is that bureaus:
a. can...
asked 51 minutes ago -
java
- A recursive method findR() to search for a number in list
(ArrayList)
- A...
asked 1 hour ago