I have to make a python program that does the following:

but I can't figure it out.

a) 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- e can also define a 2n2 matri,M- la Computing the product of M wit 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 with the point (1.0), and the matrixc 0.08343568 1.005831 Then, repeatedly multiply the 1.00583 -0.0871561 0.087156 1.00583 matrix by the point to get a new point. You should repeat this between 150 and 250 times. Note: the purpose of this part of the assignment is to get practice with numpy, so you shoud 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. a) 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- e can also define a 2n2 matri,M- la Computing the product of M wit 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 with the point (1.0), and the matrixc 0.08343568 1.005831 Then, repeatedly multiply the 1.00583 -0.0871561 0.087156 1.00583 matrix by the point to get a new point. You should repeat this between 150 and 250 times. Note: the purpose of this part of the assignment is to get practice with numpy, so you shoud 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