Consider the following. Tis the counterclockwise rotation of 45° in R2, v = (2, 2). (a) Find the standard matrix A for the linear transformation T. (b) Use A to find the image of the vector v. T(v)%= (c) Sketch the graph of v and its image. 3. T(v) -2

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Conslder the following.
TIs the counterdockwise rotation of 45° in R, v = (2, 2).
%3D
(a) Find the standard matrix A for the linear transformation 7.
(b) Use A to find the image of the vector v.
7(v)
(c) Sketch the graph of v and its image.
y.
T(V)
Transcribed Image Text:Conslder the following. TIs the counterdockwise rotation of 45° in R, v = (2, 2). %3D (a) Find the standard matrix A for the linear transformation 7. (b) Use A to find the image of the vector v. 7(v) (c) Sketch the graph of v and its image. y. T(V)
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