MATH-0070 Midterm: MATH70 exam2 70sp15exam2

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31 Jan 2019
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All calculators, cell phones, or other electronic devices must be turned o and put away during the exam. Unless otherwise stated, you must show all work to receive full credit. With your signature you are pledging that you have neither given nor received assistance on the exam. Students found violating this pledge will receive an f in the course. Decide whether each of the statements below is true or false. Indicate your answer by shading the appropriate box. No partial credit. (a) for square matrices a and b, provided ab and ba are de ned, |ab| |ba| = 0. 1 (b) for a square invertible matrix a, det(a 1) = 1 deta . T f (c) for any square matrix a, if |a| 6= 0 then a is row equivalent to i. T f (d) if a is an invertible matrix, then for any square matrix b for which ab is de ned,