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Let A be a 3 x 3 matrix with eigen values 1 , - 1 , 0 . then the determinant of  
  • a)
    6
  • b)
    8
  • c)
    9
  • d)
    100
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let A be a 3 x 3 matrix with eigen values 1 , - 1 , 0 . then the deter...
Here the characteristic equation is .
So by cayley's hamiiton theorem ,
Now since A(A2 - I) = 0
so
So |A100 + 1| = 8
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Most Upvoted Answer
Let A be a 3 x 3 matrix with eigen values 1 , - 1 , 0 . then the deter...
Here the characteristic equation is .
So by cayley's hamiiton theorem ,
Now since A(A2 - I) = 0
so
So |A100 + 1| = 8
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Community Answer
Let A be a 3 x 3 matrix with eigen values 1 , - 1 , 0 . then the deter...
Here the characteristic equation is .
So by cayley's hamiiton theorem ,
Now since A(A2 - I) = 0
so
So |A100 + 1| = 8
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Let A be a 3 x 3 matrix with eigen values 1 , - 1 , 0 . then the determinant ofa)6b)8c)9d)100Correct answer is option 'B'. Can you explain this answer?
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