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Because of the layout of the school, it is not possible to run cable directly between every pair of hubs. The matrix below shows which hubs can be linked directly, as well as how much cable is needed. The hubs are represented by letters and the distances are in meters. Computer Network Matrix.
Draw a vertex-edge graph that represents the information in the matrix. Use your graph to solve the computer network problem, as follows. a. Compare your graph to other students’ graphs. Agree on a graph that best represents this problem situation. What do the vertices and edges represent? b. What is the least amount of wire needed to connect the hubs so that every hub is linked directly or indirectly to every other hub? c. Make a copy of the graph you agreed on in Part a and then darken the edges of a shortest network for this problem. d. Compare your shortest network and the minimum amount of cable needed to what other students found. Discuss and resolve any differences.
To answer whether the given statement is true or false, we must first recall how we calculate the product of the matrices and if the matrix is decomposed into columns , , and .
$ False, because AB=[Ab_1 Ab_2 Ab_3], the columns of the product are not added as suggested in the question . $
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