oct0709 - A = [ v 1 , v 2 , v 3 ]. Find an explicit...

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Math 1502 D, October 7, 2009 1 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 6 October 7, 2009 First Name : --------------------------------------------- Last Name : ------------------------------------------------- 1. Let A = b 2 - 2 1 - 2 B . Compute A 2 A 2 =
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Math 1502 D, October 7, 2009 2 2. Let A = 1 1 0 0 1 1 0 0 1 and let B = 1 u v 0 1 w 0 0 1 where u, v, w are real numbers. (a) Compute AB . AB = (b) By choosing u, v, w conveniently compute the inverse of A A - 1 =
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Math 1502 D, October 7, 2009 3 3. Let A be a 3 × 3 matrix with column representation
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Unformatted text preview: A = [ v 1 , v 2 , v 3 ]. Find an explicit numerical 3 3 matrix B such that AB = [ v 2 + v 3 , v 1 + v 3 , v 1 + v 2 ] B = 4. Compute the angle between x = b 3 1 B and y = b 3-1 3 + 1 B . Hint : compute the lengths of each vector, their dot product and cos . Warning : give as a result ! =...
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oct0709 - A = [ v 1 , v 2 , v 3 ]. Find an explicit...

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