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Unformatted text preview: 2 2 2 1 2 1 4 x x x x q + + = and orthogonally diagonalize it. (b) [3] Find a change of variable that will transform the quadratic form into one with no cross products. What is the new quadratic form? MATH 2107A TEST 4 NOVEMBER 20, 2009 4 of 4 3.(a)[6] Let ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = 3 2 2 3 A and Aw v w v T = , defines an inner product on 2 ℜ . Let ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = 4 3 v and ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = 1 2 w . Compute v , w and the distance between v and w . (b)[3] Let 1 = u , 2 = v , 3 = w , 1 , − = v u , , = w u and 3 , = w v . Compute v u w v − + 2 ,...
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 Fall '09
 RanjeetaMallick
 Math, Linear Algebra, Algebra, Covariance matrix, Quadratic form, MATH 2107A

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