Electronics and Communication Engineering (ECE)

If A is a non–singular matrix and the eigen values of A are 2 , 3 , -3 then the eigen values of A-1 are
  • a)
    2 , 3 , - 3
  • b)
    1/2, 1/3, -1/3
  • c)
    2|A|, 3|A|, -3|A|
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Leelawati answered  •  57 minutes ago
If λ1 ,λ2 ,λ3 ....λare the eigen values of a non–singular matrix A, then A-1 has the eigen values  1/λ1 ,1/λ2 ,1/λ3 ....1/λn Thus eigen values of A-1are 1/2, 1/3, -1/3

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