A mapping T: R2 R2 is given by Where Show that T rotates every vector v Îµ

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

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

And use the identities for cos(Î¸ + Î±) and sin(Î¸ + Î±).

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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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Question Posted: May 26, 2016 06:08 AM

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A mapping T: R2 R2 is given by Where Show that T rotates every vector v Îµ

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A-|cos θ 6 -sin θ r cosa

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Using the trigonometric identitie...View the full answer

Differential Equations and Linear Algebra

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