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Answers for “这个特定的矩阵如何影响任意向量 $(x,y,z)$?”

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During a 90-degree rotation around the y-axis, i^\hat{i} moves to the negative z-axis at (0,0,−1)(0, 0, -1), j^\hat{j} remains stationary on the y-axis at (0,1,0)(0, 1, 0), and k^\hat{k} swings to the positive x-axis at (1,0,0)(1, 0, 0).

Conditions: Rotation angle is exactly 90 degrees; Axis of rotation is the y-axis; Right-handed coordinate system convention assumed for sign determination