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Unformatted text preview: R 3 with edges v 1 , v 2 , v 3 has volume 6, then what is the volume of the parallelepiped whose edges are v 1 + v 2 + 3 v 3 , 4 v 2 + 6 v 3 , and v 1 + 5 v 2 + 8 v 3 ? 3. (12 points) Find the quadratic polynomial of the form y = ax 2 + bx that best ±ts the four data points (1 , 16), (0 , 8), (1 , 4) and (2 , 6). 4. (12 points) True or False? Justify your answers. (a) If A is a 3 × 2 matrix then 0 is always an eigenvalue of AA T . (b) If A and B are n × n matrices then tr AB = (tr A )(tr B ). (c) If A is a 2 × 2 matrix with characteristic equation λ 21 = 0 then A is an orthogonal matrix....
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 Spring '08
 Staff
 Math, Linear Algebra, Algebra, #, Eigenvalue, eigenvector and eigenspace, Orthogonal matrix

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