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 &:
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)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...
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