A=begin{bmatrix}5 & 1 1 & 1 end{bmatrix} B=begin{bmatrix}3 & 5 1 & 3 end{bmatrix} Similar or not similar?

Chesley 2021-02-03 Answered
A=[5111]
B=[3513]
Similar or not similar?
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Expert Answer

Jayden-James Duffy
Answered 2021-02-04 Author has 91 answers
Step 1
Given matrices, A=[5111] and B=[3513]
Step 2
Characteristic equation of A
|AλI|=0|5λ111λ|=0
(5λ)(1λ)1=0
λ=1,5
Characteristic equation of B
|BλI|=0|3λ513λ|=0
(3λ)(3λ)5=0
(3λ)25=0
9+λ26λ5=0
λ26λ+4=0λ=0.164,5.236
Step 3
Since Eigen values of the matrices are not equal, the given matrices are not similar.
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