quiz6 - B are 3 3 matrices. Assume that 3 is an eigenvalue...

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MAS 3105 Quiz 6 October 21, 2010 1) Let v = 1 1 1 , and let B = 1 2 3 , - 1 0 1 , 1 0 1 Determine [ v ] B . 2) Let T : R 3 R 3 be the linear operator defned by T x 1 x 2 x 3 = x 1 + x 3 x 2 + x 3 x 1 + x 2 Determine the matrix [ T ] B . 3) Determine the eigenspace oF A associated with the eigenvalue λ = 2. A = 3 - 2 - 2 - 1 4 2 2 - 4 - 2 4) Say that A and
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Unformatted text preview: B are 3 3 matrices. Assume that 3 is an eigenvalue oF A with associated eigenvector 1 2 3 , and 5 is an eigenvalue oF B with associated eigenvector 1 2 3 . ind an eigenvalue and associated eigenvector For the matrix AB ....
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This note was uploaded on 07/29/2011 for the course MAS 3105 taught by Professor Dreibelbis during the Fall '10 term at UNF.

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