Question: (By Matlab)The matrices 10 cos 0 sin T(x,y) = = 0 1 x y1 , R(0) = sin cos 0 0 0 1 :)

(By Matlab)The matrices 10 cos 0 sin T(x,y) = = 0 1

(By Matlab)The matrices 10 cos 0 sin T(x,y) = = 0 1 x y1 , R(0) = sin cos 0 0 0 1 :) are used to represent translations and rotations of plane points in computer graphics. For the following, let A=T(3, 1)R(/5)T(3,1), z = 2 (a) Find b= Az. (b) Find the LU factorization of A. (c) Use the factors with triangular substitutions in order to solve Ar = b and find x-z. (Note for the triangular substitutions, you can refer lecture slides 10-square-linear-systems.pdf to write the function script backsub.m and forelim.m).

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