The matrix \( S \) is rotation through an angle \( 45^{\circ} \) an...

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The matrix \( S \) is rotation through an angle \( 45^{\circ} \) and \( G \) is the reflection about the line \( y=2 x \), then \( (S G)^{2} \) is equal to
(a) 71
(b) 51
(c) 3
(d) 1
\( \mathrm{P} \)
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