MATH-0070 Midterm: MATH70 exam1 Exam1-F15
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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. No partial credit. (a) let t be a linear transformation. If {u, v, w} is linearly independent, then {t (u), t (v), t (w)} is linearly independent. 1 (b) a consistent system of linear equations can have exactly 10 solutions. T f (c) every linear transformation from r4 to r2 is onto. T f (d) the range of the linear transformation x 7 ax is the span of the columns of a. T f (e) for any 3 3 matrices a and b, we have ab = ba.
