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Eigen values of a matrix    are 5 and 1. What are the eigen values of the matrix S2  = SS?
  • a)
    1 and 25  
  • b)
    6 and 4  
  • c)
    5 and 1  
  • d)
    2 and 10 
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Eigen values of a matrix are 5 and 1. What are the eigen values of the...
We know If λ be the eigen value of A ⇒λ2 is an eigen value of A2 .
For S matrix, if eigen values are λ1, λ2, λ3,... then for S² matrix, the eigen values will be λ²1 λ²2 λ²3......
For S matrix, if eigen values are 1 and 5 then for S² matrix, the eigen values are 1 and 25
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Eigen values of a matrix are 5 and 1. What are the eigen values of the...
We know If λ be the eigen value of A ⇒λ2 is an eigen value of A2 .
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Community Answer
Eigen values of a matrix are 5 and 1. What are the eigen values of the...
For 's' eigen value is 1 and 5 then for s2 eigen value is (1)^2!=1 and (5)^2=25
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Eigen values of a matrix are 5 and 1. What are the eigen values of the matrix S2 = SS?a)1 and 25 b)6 and 4 c)5 and 1 d)2 and 10Correct answer is option 'A'. Can you explain this answer?
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