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Unformatted text preview: Midterm Math 2J, Fall 2011 October 28, 2011 Instructor: Christoph Weiss Full name: Student #: You have 50 minutes to complete the test. You are not allowed to use any aid but a pen. If you need additional sheets of paper, raise your hand and we will give them to you. Write your name on the additional sheets of paper and clearly point out which problem the text on it refers to. An incorrect answer in Problem 1 will give you a minus point, so you might want to leave a question unanswered if you do not know the answer. Negative points will not carry over to other problems though, so the minimum score for Problem 1 is zero. All matrices are considered to be real matrices! 1 Problem 1 (10 points) Mark if the following statements are true or false. You do not need to provide an explanation. 1. If A is a regular ( n × n )-matrix, then the system Ax = b has exactly one solution x for any b ∈ n . True False 2. If A is a singular ( n × n )-matrix, then the system Ax = 0 has exactly one solution....
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