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If is one of the eigen vector of matrix A = and A3*3 has three distinct eigen values then which of the following can be another eigen vector of matrix A?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If is one of the eigen vector of matrix A = and A3*3 has three di...
If A is a real symmetric matrix then the eigen vector of A corresponding to distinct eigen values are mutually orthogonal vectors.
Given matrix A3*3 is a real symmetric matrix.
⇒ its eigen vectors are pair - wise orthogonal.
Here the given eigen vector is orthogonal to only option (B) vector.
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If is one of the eigen vector of matrix A = and A3*3 has three distinct eigen values then which of the following can be another eigen vector of matrix A?a)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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