A mapping T: R2 R2 is given by Where Show that T rotates every vector v ε
Question:
Where
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Show that T rotates every vector v ε R2 counterclockwise about the origin through angle 0. Express v using polar coordinates,
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And use the identities for cos(θ + α) and sin(θ + α).
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Using the trigonometric identitie...View the full answer
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Related Book For 
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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