Find the coordinates of the vertices of each figure after the given transformation.roțațion 90° counterclockwise about theoriginO R'(4, 1), S'(3, 0), T'(2, 3)O R'(1, -4), S'(0, –3), T'(3, –2)O S'(-3,0), T'(-4, –3), R'(-2, –1)O R'(-2, 4), S'(-1,5), T'(0, 2)910

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Answered: Find the coordinates of the vertices of…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 29CR: Use the standard matrix for counterclockwise rotation in R2 to rotate the triangle with vertices...

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Similar questions

A translation in R2 is a function of the form T(x,y)=(xh,yk), where at least one of the constants h and k is nonzero. (a) Show that a translation in R2 is not a linear transformation. (b) For the translation T(x,y)=(x2,y+1), determine the images of (0,0,),(2,1), and (5,4). (c) Show that a translation in R2 has no fixed points.
Use the standard matrix for counterclockwise rotation in R2 to rotate the triangle with vertices (3,5), (5,3) and (3,0) counterclockwise 90 about the origin. Graph the triangles.
Let T:P2P3 be the linear transformation T(p)=xp. Find the matrix for T relative to the bases B={1,x,x2} and B={1,x,x2,x3}.
Let T:P2P4 be the linear transformation T(p)=x2p. Find the matrix for T relative to the bases B={1,x,x2} and B={1,x,x2,x3,x4}.
For the linear transformation from Exercise 45, let =45 and find the preimage of v=(1,1). 45. Let T be a linear transformation from R2 into R2 such that T(x,y)=(xcosysin,xsin+ycos). Find a T(4,4) for =45, b T(4,4) for =30, and c T(5,0) for =120.

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Find the coordinates of the vertices of each figure after the given transformation. roțațion 90° counterclockwise about the origin O R'(4, 1), S'(3, 0), T'(2, 3) O R'(1, -4), S'(0, –3), T'(3, -2) O S(-3,0), T'(-4, -3), R'(-2, –1) O R'(-2, 4), S'(-1,5), T'(0, 2)