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Aditi agrawal Asked a Question
June 3, 2020 8:55 ampts 30 pts
  • IIT JAM
  • Physics (PH)

Eigen vectors.

the circled condition shows that k1 and k2 should not be equal to zero but when you have given example of matrix X then you have taken either k1 or k2 as zero.Why??
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  • Abhishek singh Best Answer
    dear, k1 and k2 simultaneously couldn't be zero. but they can be zero one at a time.
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    Abhishek singh
    the reason is, ..... if both simultaneously become zero, then all the three components of vector become zero. but Eigen vector could not be a zero vector. that's why we cannot take...
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  • Dhairya sharma thankyou
    dear if.....all will equal to 0 then we wont get any vector
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  • Dhairya sharma
    from the vector which is eual to zero we get that k1 and k2 are -ve.no of eigen values is equal to no of linearly independent eigen values...
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  • Ruby negi thankyou
    here when you have a same eigen values then you will first find the eigen vectors corresponding to eigen values and then corresponding to that eigen vector you have to find new eig...
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    Aditi agrawal
    can u please explain it by giving an example
  • Ruby negi
    yeah,no of distinct eigen values is equal to no of linearly independent eigen values...
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    Aditi agrawal
    i understood this but my question is that if we have to take k1 and k2 as not equal to zero then in example for matrix X why the value is taken as zero for either k1 or k2