Mathematicians prefer to work with only the most relevant information. The power of mathematics is derived from what information one can gains from its use. Yes, you fly Atlanta to Boston then back to Atlanta. So 1 goes in the first cell. No, you can fly from Atlanta to Boston, but your next hop will take you away from Boston, so 0 will go in the next cell.
Matrix multiplication is performed in a very unusual way.
To find the product of two matrices, each cell is the result of pairing then multiplying each element in a row by each element in a column and summing up. Find the product of or Fill in the table for the three hop routes between the three cities. What does the 4 th power of the connectivity matrix tell you. Matrix multiplication can get tiresome. A graphing calculator or computer can be used to perform matrix multiplication.