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If the characteristic roots of are λ1 and λ2 the characteristic roots is

  • a)
    λ1 + λ2, λ1 - λ2

  • b)

  • c)
    1 and 2λ2

  • d)
     λ1 + λ2 and |λ1 — λ2|

Correct answer is option 'B'. Can you explain this answer?
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If the characteristic roots ofare λ1 and λ2 thecharacter...
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If the characteristic roots ofare λ1 and λ2 thecharacter...
We are given that the characteristic roots of  are λ1 and λ2, we need do determine the characteristic roots of .
Since, the matrix  is the inverse of .
Therefore, if  has roots λ1, and λ2 then, the inverse of this matrix has the characteristic roots and .
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If the characteristic roots ofare λ1 and λ2 thecharacteristic rootsisa)λ1+λ2,λ1-λ2b)c)2λ1and 2λ2d)λ1+ λ2and |λ1 — λ2|Correct answer is option 'B'. Can you explain this answer?
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