GATE XE (Engineering Sciences) 2016 - Question 19

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Section: Engineering Mathematics | Marks: 2

Let 𝑀𝑀= ቀ1 1 0 1ቁ. Which of the following is correct?

  • A. Rank of 𝑀𝑀 is 1 and 𝑀𝑀 is not diagonalizable
  • B. Rank of 𝑀𝑀 is 2 and 𝑀𝑀 is diagonalizable
  • C. 1 is the only eigenvalue and 𝑀𝑀 is not diagonalizable
  • D. 1 is the only eigenvalue and 𝑀𝑀 is diagonalizable

Answer: C. 1 is the only eigenvalue and 𝑀𝑀 is not diagonalizable

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