GATE XE (Engineering Sciences) 2007 - Question 11

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Section: Engineering Mathematics | Marks: 2

Let $M = \begin{pmatrix} 1 & b & a \\ 0 & 2 & c \\ 0 & 0 & 1 \end{pmatrix}$, where $a, b, c$ are real numbers. Then $M$ is diagonalizable

  • A. for all values of $a, b, c$
  • B. only when $bc \neq a$
  • C. only when $b + c = a$
  • D. only when $bc = a$

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