rules of inference are used in this famous argument?-All men are mortal.Socrates is a man. Therefore, Socrates is mortal." 2) What rules of inference are used in this argument? "No man is an island, Manhattan is an island. Therefore, Manhattan is not a man. 3) Find A+B, where A=[} 1&0&4 -1&2&2 0&-2&-3 ] B=[} -1&3&5 2&2&-3 2&-3&0 ]

1) The argument "All men are mortal. Socrates is a man. Therefore, Socrates is mortal." uses the rule of inference known as "modus ponens." This rule states that if a conditional statement (if P then Q) is true and the antecedent (P) is true, then the conclusion (Q) must also be true. In this case, the is "All men are mortal" and the antecedent is "Socrates is a man." Since both of these statements are true, the conclusion "Socrates is mortal" must also be true.<br /><br />2) The argument "No man is an island, Manhattan is an island. Therefore, Manhattan is not a man." uses the rule of inference known as "modus tollens." This rule states that if a conditional statement (if P then Q) is true and the consequent (Q) is false, then the antecedent (P) must also be false. In this case, the conditional statement is "No man is an island" and the consequent is "Manhattan is an island." Since the consequent is true, the antecedent "No man is an island" must also be true, which leads to the conclusion "Manhattan is not a man."<br /><br />3) To find the sum of two matrices A and B, you simply add the corresponding elements of the two matrices together. In other words, if A = [[a11, a12, [a21, a22, a23], [a31, a32,]] and B = [[b11, b12, b13], [b21, b22, b23], [b31, b32, b33]], then A + B = [[a11 + b11, a12 + b12, a13 + b13], [a21 + b21, a22 + b22, a23 + b23], [a31 + b31, a32 + b32, a33 + b33]]. Applying this to the given matrices, we have:<br /><br />A + B = [[1 + (-1), 0 + 3, 4 + 5], [-1 + 2, 2 + 2, 2 + (-3)], [0 + 2, -2 + (-3), -3 + 0]]<br /><br />Simplifying this, we get:<br /><br />A + B = [[0, 3, 9], [1, 4, -1], [2, -5, -3]]<br /><br />Therefore, the sum of A and B is [[0, 3, 9], [1, 4, -1], [2, -5, -3]].