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The matrix  has three distinct eigenvalues and one of its eigenvectors is   Which one of the following can be another eigenvector of A?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The matrix has three distinct eigenvalues and one of its eigenvectors...
By the properties of Eigen values and Eigen vectors, another eigen vector of A is  The eigen vectors corresponding to distinct eigen values of a real symmetric matrix are orthogonal i.e., pair wise dot product is zero.
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Most Upvoted Answer
The matrix has three distinct eigenvalues and one of its eigenvectors...
By the properties of Eigen values and Eigen vectors, another eigen vector of A is  The eigen vectors corresponding to distinct eigen values of a real symmetric matrix are orthogonal i.e., pair wise dot product is zero.
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Community Answer
The matrix has three distinct eigenvalues and one of its eigenvectors...
Because they are orthogonal
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The matrix has three distinct eigenvalues and one of its eigenvectors is Which one of the following can be another eigenvector of A?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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