The matrix is rotation through an angle and is the reflection about the line

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

The matrix SS is rotation through an angle 45∘45^\circ and GG is the reflection about the line y=2xy = 2x , then (SG)2(SG)^2 is equal to (1) 7I (2) 5I (3) 3I (4) I

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