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Let Re:R → R² is a linear transformation rotation function, where 0 is an angle of th Гcos ® -sin 0 – sin 0j is a standard matric of Re, such that Re(V) = AV. rotation, and let A : COS a) sketch the vectors v, = 1, Зп b) Rotate vị, and v, about the origin, through 0 ( counterclockwise).

Let Re:R → R² is a linear transformation rotation function, where 0 is an angle of th Гcos ® -sin 0 – sin 0j is a standard matric of Re, such that Re(V) = AV. rotation, and let A : COS a) sketch the vectors v, = 1, Зп b) Rotate vị, and v, about the origin, through 0 ( counterclockwise).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let R9:R2 → R² is a linear transformation rotation function, where 0 is an angle of the [cos 0 Lsin 0 - sin cos e is a standard matric of Rg, such that R9(V) = AV. rotation, and let A COS a) sketch the vectors v ,V2 = | 4 b) Rotate v,, and v, about the origin, through 0 =" (counterclockwise). 2
Transcribed Image Text:Let R9:R2 → R² is a linear transformation rotation function, where 0 is an angle of the [cos 0 Lsin 0 - sin cos e is a standard matric of Rg, such that R9(V) = AV. rotation, and let A COS a) sketch the vectors v ,V2 = | 4 b) Rotate v,, and v, about the origin, through 0 =" (counterclockwise). 2
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