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- Create a matrix that represents the coordinates of 16 random points in 3D space, find each point's distance to origin, and print the longest distance and the index of this point.Q2: Create a quadrilateral and apply composite transformations, that is Scale and translate the object before rotating it to 270 degrees. Apply non uniform scaling and consider the translation vector Coordinates as equal.Imagine having a square matrix with either black or white pixels for each cell. Create a formula to determine the largest subsquare whose four boundaries are all covered in black pixels.
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- How many array accesses are required to evaluate the average colour in each of the following i. The unprocessed image? ii. A rectangle inside the integral image? ii. Two adjacent rectangles inside the integral image? iii. Three adjacent rectangles inside the integral image?Create five row vectors, the first A with 6 random integer numbers between 10 and 30, the second B with 6 random numbers between -5 and 10, the third C with 6 numbers between 20 and 100, the fourth D with 6 ones, and the last E with elements (3, 6, 9, 12, 15, 18) (do not type individual elements explicitly), then do the following: 1) Combine the above vectors (A-E) to create matrix M (5x6) in which each vector above represents a row in the matrix. 2) Sort the columns of M and put the new sorted array in matrix N, then display the largest and smallest elements in each column with their positions. 3) Swap the first row of N with the last. MATLAB 4) Is it possible to find the inverse of matrix M? why? 5) Which basic mathematical operations can be performed between M and N matrices?Imagine you have a square matrix, where each cell (pixel) is either black or white. Design an algorithm to find the maximum subsquare such that all four borders are filled with black pixels.