How do i write a convolution function using python? the function must calculate the discrete convolution of an image (i), by a given kernel(k) without using a python package except numpy arrays.

java          (1) Implement the function by allocating a new n X n 2D array. Then write the rotation to it by writing the rows of the original matrix to the columns in the solution matrix such that they fit the solution require[1]ment. Then copy the new matrix exactly the same to the original matrix so that you know for sure you have updated the original matrix to look modified. (2) Implement the function by not allocating a new n X n 2D array. Hint : Perform the rotation in a layer by layer fashion - meaning - different layers can be processed independently. Also within a layer, you can exchange groups of four elements at a time to perform the rotation. Example : Send 1 to 4’s location, 4 to 16’s location, 16 to 13’s location and 13 to 1’s location. Ungraded but Important : As a comment in your code for Problem 2, write your observation on the different solutioning methods utilized. should speak in terms of Time and Space Complexity. Which solution does what in terms of time and…

In Python the only import that may be used is Numpy Implement a function called page_rank which will take as input a numpy array M, which will represent the transition matrix of a directed graph, and a positive integer n. The output will be a numpy array which gives the page ranks of each vertex in the graph represented by M. You will iterate the update process n times.