MATH 4200 Midterm: MATH 4200 LSU f09 Exam 1a
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Answer each of the questions on your own paper, and be sure to show your work so that partial credit can be adequately assessed. Hence, (378, 490) = 14, and the rst line of the last matrix gives. 14 = 13 378 = 10 490. (b) calculate [378, 490]. = 13, 230. (c) describe all of the integers that can be written in the form = 378 + 490 for some integers and . That is, identify the set in the equation 378 + 490 = . That is, is the set of all multiples of the greatest common divisor of 378 and 490: [20 points] this exercise makes use of the following equation: Using this equation (i. e. , do not use the euclidean algorithm to recreate it), answer the following questions. (a) compute the multiplicative inverse of [15]103 in 103.
