a. Make the matrix representation of the following problem. In a post-apocalyptic war, where machines have almost completely dominated humanity, there are three teams of soldiers, two of them very legendary called Mathematicians and Physicists and the other team that is known for being the worst soldiers in the kingdom, called Chemists. In order to save his beloved, the leader of the rebellion asks the three teams to assault La Fortaleza, a castle guarded
a. Make the matrix representation of the following problem.
In a post-apocalyptic war, where machines have almost completely dominated humanity, there are three teams of soldiers, two of them very legendary called Mathematicians and Physicists and the other team that is known for being the worst soldiers in the kingdom, called Chemists. In order to save his beloved, the leader of the rebellion asks the three teams to assault La Fortaleza, a castle guarded by the most lethal machines. Said leader offers them a reward of 901 gold coins that will be distributed as follows: the soldier who arrives first and all of his team will receive one coin; The rest of the reward will be distributed equally among the rest of the soldiers. Knowing that if the first to go up is Mathematician, those from other teams will receive half a coin; If he is a Physicist, the rest will receive a third of a coin; but if the first is a Chemist, the others will receive a quarter of a coin. How many men are there in each team?
b. Using Gauss's method, solve the system proposed in the previous point.
c. Using the Guass-Jordan method, solve the system proposed in point 1.
d. Compare the results and the procedure used in points b and c, and draw your conclusions regarding the differences and similarities of both methods.
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