- #1
shermaine80
- 30
- 0
Hi Guys,
I have got some enquires for eigenvalue and eigenvector.
Consider the 1st matrix:
A = [ 1 2 3]
[ 0 5 6]
[ 0 6 5]
The characteristic polynomial is
det(A-λI) = [ 1-λ 2 3]
[ 0 5-λ 6]
[ 0 6 5-λ]
= (1-λ) [ (5-λ)^2 - 36]
The eigenvaules are D(λ) = 0 ---> λ1 = 1, λ2=-1 and λ3 =11
May i know how do we get the λ1 , λ2 and λ3? Can someone advise me?
Dont seem quadratic is working for this??
Matrix (2)
A = [3 5 3]
[0 4 6]
[0 0 1]
Is the characteristic polynomial: det(A - λI) = [ 3-λ 5 3]
[ 0 4-λ 6]
[ 0 0 1-λ]
= (3-λ)[(4-λ)(1-λ)- 0]?
Does the characteristic polynomial of matrix 2 also the same as Matrix (3)
A = [ 3 0 0]
[ 4 4 0]
[ 5 6 1]
Please advise. Thanks :)
I have got some enquires for eigenvalue and eigenvector.
Consider the 1st matrix:
A = [ 1 2 3]
[ 0 5 6]
[ 0 6 5]
The characteristic polynomial is
det(A-λI) = [ 1-λ 2 3]
[ 0 5-λ 6]
[ 0 6 5-λ]
= (1-λ) [ (5-λ)^2 - 36]
The eigenvaules are D(λ) = 0 ---> λ1 = 1, λ2=-1 and λ3 =11
May i know how do we get the λ1 , λ2 and λ3? Can someone advise me?
Dont seem quadratic is working for this??
Matrix (2)
A = [3 5 3]
[0 4 6]
[0 0 1]
Is the characteristic polynomial: det(A - λI) = [ 3-λ 5 3]
[ 0 4-λ 6]
[ 0 0 1-λ]
= (3-λ)[(4-λ)(1-λ)- 0]?
Does the characteristic polynomial of matrix 2 also the same as Matrix (3)
A = [ 3 0 0]
[ 4 4 0]
[ 5 6 1]
Please advise. Thanks :)