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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Consider the following function main: int main() { int alpha[20]; int beta[20]; int matrix[10][4]; . . } a. write the definition of the function inputarray that prompts the user to input 20 numbers and stores the numbers into alpha. b. write the definition of the function doublearray that initializes the elements of beta to two times the corresponding elements in alpha. make sure that you prevent the function from modifying the elements of alpha. c. write the definition of the function copyalphabeta that stores alpha into the first five rows of matrix and beta into the last five rows of matrix. make sure that you prevent the function from modifying the elements of alpha and beta. d. write the definition of the function printarray that prints any onedimensional array of type int. print 15 elements per line. e. write a c11 program that tests the function main and the functions discussed in parts a through d. (add additional functions, such as printing a two-dimensional array, as needed.)

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