Consider the following "standard" basis of R³ over R: --000 = Let q be the real quadratic form (from R³ to R) defined via: q(x1, x2, x3) = 9x} + 7x² + 2x3 + 18x1x2 + 18x1x3 + 10x2x3 Determine [q], the symmetric matrix representing the quadratic form q in terms of the basis &:

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
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Consider the following "standard" basis of R³ over R:
--000
=
Let q be the real quadratic form (from R³ to R) defined via:
q(x1, x2, x3) = 9x² + 7x² + 2x3 + 18x1x2 + 18x1x3 + 10x2x3
Determine [q], the symmetric matrix representing the quadratic form q in terms of the basis &:
Transcribed Image Text:Consider the following "standard" basis of R³ over R: --000 = Let q be the real quadratic form (from R³ to R) defined via: q(x1, x2, x3) = 9x² + 7x² + 2x3 + 18x1x2 + 18x1x3 + 10x2x3 Determine [q], the symmetric matrix representing the quadratic form q in terms of the basis &:
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