Question:medium

Which of the following matrices is NOT diagonalizable?

Show Hint

Watch out for triangular matrices with repeated values on the diagonal but non-zero entries above/below them; they are often non-diagonalizable.
  • $\left[\begin{matrix}1& 1\\ 1& 2\end{matrix}\right]$
  • $\left[\begin{matrix}1& 0\\ 3& 2\end{matrix}\right]$
  • $\left[\begin{matrix}0&-1\\ 1& 0\end{matrix}\right]$
  • $\left[\begin{matrix}1& 1\\ 0& 1\end{matrix}\right]$
Show Solution

The Correct Option is D

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