Q11

MCQ1 mark, −0.33

Let A be the $2 × 2$ matrix with elements $a_{11} = a_{12} = a_{21} = +1$ and $a_{22} = −1$ . Then the eigenvalues of the matrix $A^{19}$ are

(A)

$1024$ and $−1024$

(B)

$1024\sqrt{2}$ and $−1024 \sqrt{2}$

(C)

$4 \sqrt{2}$ and $−4 \sqrt{2}$

(D)

$512 \sqrt{2}$ and $−512 \sqrt{2}$

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