Find the canonic analytical expression of the following quadratic form q: R³ → R, q (x) = 6x,²+x,² – 4x3² + 4x,x3 + 4x1X2, x = (x1, X2, X3) E R3 and the basis relative to this canonic expression. %D

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 71E
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Find the canonic analytical expression of the following quadratic form
q: R³ → R, q (x) = 6x,+x,? – 4x3? + 4x, x3 + 4x, X2, x = (x1, X2, X3) E R³
and the basis relative to this canonic expression.
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Transcribed Image Text:Find the canonic analytical expression of the following quadratic form q: R³ → R, q (x) = 6x,+x,? – 4x3? + 4x, x3 + 4x, X2, x = (x1, X2, X3) E R³ and the basis relative to this canonic expression. -
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