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You will create a program that repeatedly multiplies a matrix by a point and plots the data to the screer in this case, we will have a 2d point, (xx). the point can be represented as a vector: v le al we can also define a 2x2 matrix, m- new point v: mv-v'. we can then use v' as the new point, multiply by matrix m again, and get another point, i. e. mv'- v". this can go on indefinitely, creating a long sequence of points computing the product of m with v gives usa create a program that uses pumpx to create a matrix and a point. specifically, you should begin with the point (1, 0), and the matrix: lo.087156 1.00583 matrix by the point to get a new point. you should repeat this between 150 and 250 times. 0.0871561. then, repea then, repeatedly multiply the note: the purpose of this part of the assignment is to get practice with numpy, so you should use numpy for your operations, even if you find it easier to perform this computation a different way b) then, make your program plot the data points, using matplotlib. be sure to label the axes, and include a title. your title should give a brief description of the shape that the points "trace" out.

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