Question: 4. (25 points) Consider the following model for blurring images: i-jl=2, |i- j = 1, Bij _i=j, 0 otherwise. Additionally, assume the periodic boundaries

4. (25 points) Consider the following model for blurring images: i-jl=2, |i-

4. (25 points) Consider the following model for blurring images: i-jl=2, |i- j = 1, Bij _i=j, 0 otherwise. Additionally, assume the periodic boundaries of your image. Blur a matlab-provided demo image (e.g. mandrill.mat) applying the blurring iterations 16 times. Use GMRES algorithm to unblur the image. Use gmres matlab function. Restart the method every 60 iterations. Use the tolerance 10-6. Plot the original image, the burred image, and the restored image side by side. Check whether the restored and the original image are the same (use matrix norms). If not, list (in the project's README file) possible reason(s) why they are different.

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