MATH 1553 Midterm: MATH 1553 GT Exam 2
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Please read all instructions carefully before beginning: you have 50 minutes to complete this exam, there are no aids of any kind (calculators, notes, text, etc. ) allowed, please show your work unless speci ed otherwise. A correct answer without appro- priate work may be given little or no credit: you may cite any theorem proved in class or in the sections we covered in the text, good luck! [parts a) through f) are worth 2 points each: complete the following de nition (be mathematically precise! , vp} in rn is linearly independent if: let a = 2 1. Answer true if the statement is always true. You do not need to justify your answer: t. If a is an n n matrix and the columns of a span rn, then. Ax = 0 has only the trivial solution: t. If a is a 6 7 matrix and the null space of a has dimension.
