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Given a matrix, 


What would be the sum of eigenvalues of A–1? (Give the answer upto 3 decimal places ) 

Correct answer is '1.125'. Can you explain this answer?
Verified Answer
Given a matrix,What would be the sum of eigenvalues ofA–1? (Give...


The characteristic equation of A is,



∴   the characteristic root of A are given by


λ = 2, 2, 8


We know that if  are the eigenvalues of  A, then  will be the eigenvalues of A–1.


Hence, in this case, eigenvalues of  A–1 will be 


∴  Sum of eigenvalues of 


The correct answer is: 1.125
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Given a matrix,What would be the sum of eigenvalues ofA–1? (Give the answer upto 3 decimal places )Correct answer is '1.125'. Can you explain this answer?
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