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(Solved): Need help with part B only.Linear Algebra. Please show step by step solution. Thank you :) Find the ...




Need help with part B only.

Linear Algebra. Please show step by step solution. Thank you :)

Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.
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Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) a basis for each of the corresponding eigenspaces


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Given matrix   

Set up the formula to find the characteristic equation   .
  

Substitute the known values into   .
  

Simplify.
  

Find the determinant.
  

Set the characteristic polynomial equal to    to find the eigenvalues   .
  

  

Solve for   .

  

The eigenvalues are   .

Here we find the eigenvalues.


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