A= |2 2 1|
|1 2 1|
|1 2 2|
Find the Eigen values of
i) A^3+I ii) A^-1 iii) A^2-2A+I iv) A^3-3A^2+A
Answers
Answered by
0
A=
⎣
⎢
⎢
⎡
2
2
−1
1
3
−1
1
4
−2
⎦
⎥
⎥
⎤
∣A−λI∣=0
⎣
⎢
⎢
⎡
2−λ
2
−1
1
3−λ
−1
1
4
−2−λ
⎦
⎥
⎥
⎤
=0
(2−λ)[(3−λ)(−2−λ)+4]−1[−4−2λ+4]+[−2+3−λ]=0
(2−λ)[λ
2
−λ−2]+λ+1=0
−λ
3
+3λ
2
+λ−3=0
λ
3
−3λ
2
−λ+3=0
(λ−1)(λ
2
−2λ−3)=0
(λ−1)(λ+1)(λ−3)=0
λ=−1,1,3
Therefore, Eigen values of matrix A are −1,1,3
i hope it's helpful
please mark me brainliest answer
Answered by
0
Answer:
congratulations it is correct
Step-by-step explanation:
it help ful
Similar questions