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University of Hong Kong
Fall 2011
Math 1813
Mathematical Methods for Actuarial Science
Instructor: Siye Wu
Midterm Examination No. 1
(Tuesday, 11 October)
Books, notes or calculators are not allowed in this exam. There are three problems. Except in the
first problem, show all your steps. If you have two different solutions or answers to any problem, you
must cross out one; otherwise the one with the lower grade will count. You will be graded both on
the correctness of your answer and the clarity of your explanation.
I. (5 points) In each of the questions below, only one answer is correct. Circle the correct answer.
You do not need to show intermediate steps. (There is no extra penalty for making a mistake.)
1. Which of the following matrices is in reduced row echelon form?
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 Fall '11
 Wu
 Math, Actuarial Science, Matrices, Row echelon form, C. det

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