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The division algorithm says that when a is divided by b, a unique quotient and remainder is obtained. For a fixed integer b where b ≥ 2, consider the function f : Z → Z given by f(a) = r where r is the unique remainder obtained when a is divided by b.
(a) What is the range of f? Based on your answer, is f onto?
(b) Determine whether f a 1-1 function.
A Pythagorean triple is a set of positive integers (a,b,c) like a2 + b2 = c2. Write a function "ispythag" that will receive 3 positive integers (a, b, c in that order) and will r
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Example Determinant: Determine the determinant of each of the following matrices. Solution : For the 2 x 2 there isn't much to perform other than to plug this in
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The sum of -4 and a number is equal to -48. What is the number? Let x = the number. Because sum is a key word for addition, the equation is -4 + x = -48. Add 4 to both sides o
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