A is 3 x 2 B is 6 x 3 C is 2 x 5 D is 5 x3 Eis 3 x 6 F is 6 x 2 a) Given an arbitrary list of matrices and dimensions, describe how to define a graph G = (V, E) so that any path through G that uses each vertex exactly once corresponds to a valid matrix ordering. Carefully describe what the vertices of your graph represent, and when two vertices are connected with an edge. Are the edges directed or undirected? Then draw the graph for the example list of matrices and dimensions given above. b) Given an arbitrary list of matrices and dimensions, describe how to define a graph G = (V, E) so that any path through G that uses each edge exactly once corresponds to a valid matrix ordering. Carefully describe what the vertices of your graph represent, and when two vertices are connected with an edge. Are the edges directed or undirected? Then draw the graph for the example list of matrices and dimensions given above. c) For the example list of matrices and dimensions given, use your graphs to help you find all valid matrix orderings. A is 3 x 2 B is 6 x 3 C is 2 x 5 D is 5 x3 Eis 3 x 6 F is 6 x 2 a) Given an arbitrary list of matrices and dimensions, describe how to define a graph G = (V, E) so that any path through G that uses each vertex exactly once corresponds to a valid matrix ordering. Carefully describe what the vertices of your graph represent, and when two vertices are connected with an edge. Are the edges directed or undirected? Then draw the graph for the example list of matrices and dimensions given above. b) Given an arbitrary list of matrices and dimensions, describe how to define a graph G = (V, E) so that any path through G that uses each edge exactly once corresponds to a valid matrix ordering. Carefully describe what the vertices of your graph represent, and when two vertices are connected with an edge. Are the edges directed or undirected? Then draw the graph for the example list of matrices and dimensions given above. c) For the example list of matrices and dimensions given, use your graphs to help you find all valid matrix orderings