Question

The matrix A= 1 0 0 -1 0 0 1 1 1 3x3 matrix has two...

The matrix A=

1 0 0
-1 0 0
1 1 1

3x3 matrix

has two real eigenvalues, one of multiplicity 11 and one of multiplicity 22. Find the eigenvalues and a basis of each eigenspace.


λ1 =..........? has multiplicity 1, with a basis of .............?
λ2 =..........? has multiplicity 2, with a basis of .............?

Find two eigenvalues and basis.

Math   Algebra   
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
The matrix [−1320−69] has eigenvalues λ1=−1 and λ2=−3. Find eigenvectors corresponding to these eigenvalues. v⃗ 1=...
The matrix [−1320−69] has eigenvalues λ1=−1 and λ2=−3. Find eigenvectors corresponding to these eigenvalues. v⃗ 1= ⎡⎣⎢⎢ ⎤⎦⎥⎥ and v⃗ 2= ⎡⎣⎢⎢ ⎤⎦⎥⎥ Find the solution to the linear system of differential equations [x′1 x′2]=[−13 20−6 9][x1 x2] satisfying the initial conditions [x1(0)x2(0)]=[6−9]. x1(t)= ______ x2(t)= _____
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 all eigenvectors of this 3x3 matrix, when the eigenvalues are lambda = 1, 2, 3...
Find all eigenvectors of this 3x3 matrix, when the eigenvalues are lambda = 1, 2, 3 4 0 1 -2 1 0 -2 0 1
Consider 3x3 matrix A with eigenvalues -1, 2, 3. Find the trace and determinant of A....
Consider 3x3 matrix A with eigenvalues -1, 2, 3. Find the trace and determinant of A. Then, find the eigenvalues of A3 and A-1.
True/False? If 0 is an eigenvalue of a 3x3 matrix A with geometric multiplicity ug(A,0)=3, then...
True/False? If 0 is an eigenvalue of a 3x3 matrix A with geometric multiplicity ug(A,0)=3, then A is the zero-matrix, that is A=0 The answer is True, but I don't understand why.
Matrix A is given as A = 0 2 −1 −1 3 −1 −2 4 −1...
Matrix A is given as A = 0 2 −1 −1 3 −1 −2 4 −1    a) Find all eigenvalues of A. b) Find a basis for each eigenspace of A. c) Determine whether A is diagonalizable. If it is, find an invertible matrix P and a diagonal matrix D such that D = P^−1AP. Please show all work and steps clearly please so I can follow your logic and learn to solve similar ones myself. I...
Find all eigenvalues and eigenvectors for the 3x3 matrix A= 1 3 2 -1 2   1...
Find all eigenvalues and eigenvectors for the 3x3 matrix A= 1 3 2 -1 2   1 4 -1 -1
I'm attempting to diagonalize my 3x3 matrix, but with only 2 eigenvectors I am having trouble...
I'm attempting to diagonalize my 3x3 matrix, but with only 2 eigenvectors I am having trouble organizing my A=PDP^-1. Original matrix [0 0 1] . Calculated eigenvalues: (2,-2) . Calculated eigenvectors: [1/2] [0] [-1/2] [0 2 0] [0] [1] . [0] [4 0 0] [1] [0] [1] If I only have 2 eigenvalues, what do i put for my 3x3 D matrix? What order should I place my Eigenvectors in for my 3x3 P matrix?
Let?= 6 3 -8 1 -2 0 0 0 -3 a. Determine the characteristic equation and...
Let?= 6 3 -8 1 -2 0 0 0 -3 a. Determine the characteristic equation and the eigenvalues of A. b. Find a basis for each eigenspace of A.
What are the eigenvalues and eigenvectors of the 3x3 matrix [1 1 1], [1 1 1],...
What are the eigenvalues and eigenvectors of the 3x3 matrix [1 1 1], [1 1 1], [1 1 1]
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT