MATH 1553 Final: MATH 1553 GT Final 1718F Practice Solutions

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15 Feb 2019
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Please read all instructions carefully before beginning: the nal exam is cumulative, covering all sections and topics on the master calendar, each problem is worth 10 points. Most linear algebra computations can be easily veri ed for correctness: good luck! It is roughly similar in format, length, and dif culty to the real exam. It is not meant as a comprehensive list of study problems. In this problem, you need not explain your answers: the matrix 0. 1 is in reduced row echelon form: true, false, how many solutions does the linear system corresponding to the augmented matrix. In nity: not enough information to determine, let t : rn rm be a linear transformation with matrix a. The corresponding system is inconsistent: 2, 3, 5. If a has a pivot in each row, then t is onto. Option 3 is the de nition of one-to-one: 1 (true). Its characteristic polynomial always has a complex root: 3, 5.