(Solution) If I Have The Following: | Snapessays.com

(Solution) If I have the following:

If I have the following:A =[-(alpha1) -(alpha2) -(alpha3) -(alpha 4); 1 0 0 0; 0 1 0 0; 0 0 1 0]Show that its characteristic polynomial is given byDelta (lambda) = (lambda)^4 + (lambda)^3*alpha1 + (lambda)^2*alpha2 +(lambda)*alpha3 + alpha4[I believe that I have proven this by working through matrix A for the characteristic polynomial.]This is where I am getting confused:Show also that if lambda(sub i) is an eigenvalue of A or a solution of Delta(lambda)=0, then [(lambda(sub i)^3  (lambda(sub i)^2 (lambda(sub i)  1]' is an eigenvector of A associated (lambda(sub i).Please help. Thank you

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This question was answered on: May 23, 2022

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