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The number of linearly independent eigenvectors of 
  • a)
    0    
  • b)
    1    
  • c)
    2    
  • d)
    Infinit e 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The number of linearly independent eigenvectors of a)0 b)1 c)2 d)In...
Number of linear independent vectors is equal to the sum of Geometric Multiplicity of eigen values. Here only eigen value is 2.
To find Geometric multiplicity find n-r of (matrix-2I), where n is order and r is rank.
Rank of obtained matrix is 1 and n = 2 so n-r = 1. Therefore the no of linearly independent eigen vectors is 1
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The number of linearly independent eigenvectors of a)0 b)1 c)2 d)In...
Number of linear independent vectors is equal to the sum of Geometric Multiplicity of eigen values. Here only eigen value is 2. To find Geometric multiplicity find n-r of (matrix-2I), where n is order and r is rank. Rank of obtained matrix is 1 and n=2 so n-r=1. Therefore the no of linearly independent eigen vectors is 1
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The number of linearly independent eigenvectors of a)0 b)1 c)2 d)In...
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The number of linearly independent eigenvectors of a)0 b)1 c)2 d)Infinit eCorrect answer is option 'B'. Can you explain this answer?
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