Find the eigenvalues of the matrix A 2 7 1 6 Explain the sig

Find the eigenvalues of the matrix A =[2 7 ;1 6]. Explain the signicance of matrix eigenvalues. Where do they appear in applications?

i need matlab or octave code

Solution

eigen value is used find out stability of system

From eigen value we find out poles location if pole are left side that system satble

if pole is right sid system is unstable and on jw axis marginally stable and aftr location of poles we design compenstator for improve stability

MATLAB CODE

A=[2 7
-1 -6];

eig(A)

ON COMMAND WINDOW YOU GOT EIGN VALUES

note :A shuould be Square matrix

Find the eigenvalues of the matrix A =[2 7 ;1 6]. Explain the signicance of matrix eigenvalues. Where do they appear in applications? i need matlab or octave co

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