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Consider the matrix  which one of the following statements is TRUE for the eigenvalues and eigenvectors of the matrix?
  • a)
    Eigen value 3 has a multiplicity of 2 and only one independent eigen vector exists
  • b)
    Eigen value 3 has a multiplicity of 2 and two independent eigen vectors exist
  • c)
    Eigen value 3 has a multiplicity of 2 and no independent eigen vector exists
  • d)
    Eigen values are 3 and –3 and two independent eigen vectors exist.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the matrixwhich one of the following statements is TRUE for t...

 
(5 - λ) (1 - λ) + 4 = 0
5 – 5λ - λ + λ2 + 4 = 0
λ2 - 6λ + 9 = 0
(λ - 3)2 = 0
λ = 3
for eigen vector

So, only one independent eigen vector.
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Consider the matrixwhich one of the following statements is TRUE for the eigenvalues and eigenvectors of the matrix?a)Eigen value 3 has a multiplicity of 2 and only one independent eigen vector existsb)Eigen value 3 has a multiplicity of 2 and two independent eigen vectors existc)Eigen value 3 has a multiplicity of 2 and no independent eigen vector existsd)Eigen values are 3 and –3 and two independent eigen vectors exist.Correct answer is option 'A'. Can you explain this answer?
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Consider the matrixwhich one of the following statements is TRUE for the eigenvalues and eigenvectors of the matrix?a)Eigen value 3 has a multiplicity of 2 and only one independent eigen vector existsb)Eigen value 3 has a multiplicity of 2 and two independent eigen vectors existc)Eigen value 3 has a multiplicity of 2 and no independent eigen vector existsd)Eigen values are 3 and –3 and two independent eigen vectors exist.Correct answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the matrixwhich one of the following statements is TRUE for the eigenvalues and eigenvectors of the matrix?a)Eigen value 3 has a multiplicity of 2 and only one independent eigen vector existsb)Eigen value 3 has a multiplicity of 2 and two independent eigen vectors existc)Eigen value 3 has a multiplicity of 2 and no independent eigen vector existsd)Eigen values are 3 and –3 and two independent eigen vectors exist.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the matrixwhich one of the following statements is TRUE for the eigenvalues and eigenvectors of the matrix?a)Eigen value 3 has a multiplicity of 2 and only one independent eigen vector existsb)Eigen value 3 has a multiplicity of 2 and two independent eigen vectors existc)Eigen value 3 has a multiplicity of 2 and no independent eigen vector existsd)Eigen values are 3 and –3 and two independent eigen vectors exist.Correct answer is option 'A'. Can you explain this answer?.
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