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$M$  is $2 \times 2$ matrix with eigenvalues $4$ and $9.$ The eigenvalues of $M^{2}$ are

  1. $4$ and $9$
  2. $2$ and $3$
  3. $-2$ and $-3$
  4. $16$ and $81$
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Answer D:

By using properties of eigen values of a matrix:

The eigenvalues of M$^{2}$ are 4$^{2^{^{}}}$ and 9$^{^{2}}$, i.e, 16 and 81 respectively

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