GATE XE (Engineering Sciences) 2013 - Question 18

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Section: Engineering Mathematics | Marks: 2

For the matrix ܯ= ൭ 1 0 −1 0 1 −1 1 1 −2 ൱, consider the following statements: (P) The characteristic equation of ܯ is ߣଷ−ߣ = 0. (Q) ܯିଵ does not exist. (R) The matrix ܯ is diagonalizable. Which of the above statements are true?

Figure for question 18, GATE XE (Engineering Sciences) 2013

  • A. P, Q and R
  • B. P and R but not Q
  • C. P and Q but not R
  • D. Q and R but not P

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