Draw a planar representation of the graph corresponding to the following adjacency matrix: [4 marks] 1 2 3 4 5 6 7 8 10 0 0 0 1 0 0 0 2 0 0 1 0 1 1 0 0 3 0 1 0 1 0 1 1 0 40 0 1 0 0 0 0 0 5 1 1 0 0 0 1 0 1 6 0 1 1 0 1 0 0 0 7 0 0 1 0 0 0 0 1 800 0 0 1 0 1 0 Find the chromatic number for the graph above by finding a valid graph colouring that uses the minimum number of colours, and then, once you have found this colouring, describe how you came to that number of colours. Provide the coloured graph you create (4 marks)