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(c) Consider the following adjacency graph associated with sparse matrix A. i) Write down the associated adjacency matrix and plot the pattern of matrix A

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(c) Consider the following adjacency graph associated with sparse matrix A. i) Write down the associated adjacency matrix and plot the pattern of matrix A using the MATLAB command spy(A). Calculate the full bandwidth of matrix A. [6 marks] ii) Find the Reverse Cuthill-McKee ordering for the matrix A. Write down the permuted adjacency matrix B and calculate its full bandwidth. Sketch the pattern of corresponding adjacency graph B. [6 marks]

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