Find the characteristic polynomial of the matrices begin{bmatrix}1 & 2&1 0 & 1&2-1&3&2 end{bmatrix}

Jason Farmer 2021-02-27 Answered
Find the characteristic polynomial of the matrices
[121012132]
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Expert Answer

Asma Vang
Answered 2021-02-28 Author has 93 answers
Step 1
Given:
Let A=[121012132]
To Find: Characteristic polynomial of the given matrices
Step 2
Solution:
A=[121012132]
AλI=[1λ2101λ2132λ]
Characteristic polynomial of matrix A is given by |AλI|=0
[1λ2101λ2132λ]=0
(1λ)[(1λ)(2λ)6]2[0+2]+1[0+(1λ)]=0
(1λ)(2λ2λ+λ26)4+1λ=0
After simplifying we get
λ34λ2+7=0
Hence this is the required characteristic polynomial of given matrix.
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Jeffrey Jordon
Answered 2022-01-27 Author has 2070 answers

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