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

Isa Trevino 2020-12-03 Answered
Find the characteristic polynomial of the matrices
[2113]
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Ezra Herbert
Answered 2020-12-04 Author has 99 answers
Step 1 we have to find the characteristic polynomial of the matrices
A=[2113]
Step 2
A=[2113]
for characteristic polynomial:
|AλI|=[2λ113λ]
=(2λ)(3λ)(1)(1)
=(2λ)(3λ)+1
=2(2λ)λ(3λ)+1
=62λ3λ+λ2+1
=λ25λ+7
the characteristic polynomial is f(λ)=λ25λ+7
Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2022-01-27 Author has 2047 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more