MATH-0070 Midterm: MATH70 exam1 Exam1-S13
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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. For each of the statements below, decide whether it is true or false. Indicate your answer by shading the corresponding box. There will be no partial credit. (a) every homogeneous system of linear equations is consistent. 1 (b) every homogeneous system of three linear equations in ve unknowns has a nontrivial solution. T f (c) every set of three vectors in r5 is linearly dependent. T f (d) every linear transformation from r3 to r5 is one-to-one. T f (e) if a collection {v1, v2, v3, v4} is linearly dependent, then one of the vectors is a scalar mul-
