MATH 1553 Midterm: MATH 1553 GT Midterm1 1718F Practice2 Solution

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15 Feb 2019
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Please read all instructions carefully before beginning: each problem is worth 10 points. It is similar in format, length, and dif culty to the real exam. It is not meant as a comprehensive list of study prob- lems. I recommend completing the practice exam in 50 minutes, with- out notes or distractions. In this problem, a is an m n matrix (m rows and n columns) and b is a vector in. Circle t if the statement is always true (for any choices of a and b) and circle. Do not assume anything else about a or b except what is stated: t, t, t, t, t. 0 0 is in reduced row echelon form. If a has fewer than m pivots then ax = b has in nitely many solutions. If b is in the span of the columns of a, then ax = b is consistent. The zero vector is in the span of the columns of a.