Unformatted text preview: the equations of the principal axis. Find also the maximum and minimum values of the quadratic form subject to the constraint  x  = 1 where x = ( x,y ) T . (a) 9 x 28 xy + 3 y 2 (b) 8 x 2 + 6 xy 4. Sketch the conic section given by 2 x 272 xy + 23 y 2 =50 in the xyplane. 5. Let Q ( x ) =2 x 2 1x 2 2 + 4 x 1 x 2 + 4 x 2 x 3 . Find a unit vector x in R 3 at which Q ( x ) is maximized subject to the constraint x T x = 1. 6. Find the singular value decomposition (SVD) for each of the following matrices: (a) A = " 6 27 6 # (b) B = 0 1 1 1 1 0 1...
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 Fall '08
 CELMIN
 Math, Linear Algebra, Algebra, Conic section, Quadratic form, Symmetric matrix, positive definite

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