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If R(theta)=[(cos, -sin) (sin, cos)] 1) show that R(theta) is a linear transformation from R2->R2 2)Show...

If R(theta)=[(cos, -sin)

(sin, cos)]

1) show that R(theta) is a linear transformation from R2->R2

2)Show that R(theta) of R(alpha) = R(theta + alpha)

3) Find R(45degrees) [(x),

(y)], interpret it geometrically

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