MATH-205 Midterm: Bates MATH 205 041510ross205exam

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7 Mar 2019
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This page contains useful information for problem 1. The rref of the transpose of p in problem 1 is. Name: use the sheet of row-reduced matrices (page a ) to help answer these questions. You shouldn"t need a calculator in any part of problem 1. Label the column vectors of p as p1, . , p5, and those of q as q1, . Write your answer using the symbols p1, . , p5 (don"t write out the actual column vectors). Find a basis c for col(q), using the symbols q1, . Use the rref sheet to completely solve p x = v; write your answer in the x = p + vh notation. Find both [v]b and [v]c; clearly identify which is which. This is not a change of basis problem. Explicitly nd the rref of the matrix in 1e. (the info you need is on the rref sheet!) Explicitly give the change of basis matrix from b to c.

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