Question: A mapping T: R2 R2 is given by Where Show that T rotates every vector v ε R2 counterclockwise about the origin through angle 0.

A mapping T: R2 †’ R2 is given by
Where
A mapping T: R2 †’ R2 is given by Where Show

Show that T rotates every vector v ε R2 counterclockwise about the origin through angle 0. Express v using polar coordinates,

A mapping T: R2 †’ R2 is given by Where Show

And use the identities for cos(θ + α) and sin(θ + α).

A-|cos 6 -sin r cosa

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