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You will create a program that repeatedly multiplies a matrix by a point and plots the data to the screen. in this case, we will have a 2d point, (x, y). the point can be represented as a vector: v = 101: we can also define a 2x2 matrix, m = tlc di comput . computing the product of m with v gives us a 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. create a program that uses numpy to create a matrix and a point. specifically, you should begin : 1.00583 -0.087156] with the point (1,0), and the matrix: . then, repeatedly multiply the "10.087156 1.00583 ) matrix by the point to get a new point. you should repeat this between 150 and 250 times. 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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