HW8.10. Finding the Characteristic Polynomial and Eigenvalues
Consider the matrix
A=[[-1.00,2.00,2.00],[1.00,1.00,1.00],[-1.00,-4.00,-4.00]]
Compute the characteristic polynomial and the eigenvalues of A.
The characteristic polynomial of A is
Therefore, the eigenvalues of A are: (arrange the eigenvalues so that lambda _(1)<=lambda _(2)<=lambda _(3) )
{(:[lambda _(1)=-3,?]):},lambda _(2)=-1,lambda _(3)=0
HW8.10.Finding the Characteristic Polynomial and Eigenvalues
Consider the matrix
-1.00
2.00
2.00 1.00 1.00 1.00 -1.00 4.00 4.00
A=
Compute the characteristic polynomial and the eigenvalues of A.
The characteristic polynomial of A is p(A)= -3 X 0% A3
X 0%
2+
0
?
X 0% +
0
100%
Therefore, the eigenvalues of A are: (arrange the eigenvalues so that X X2 X)
X1=
-3
?
V100%
X2=
-1
?
/100%
X3=
0
?
V100%