The quadratic form Q: R³ → R is defined by Q(x₁, x2, x3) = x² + 4x² + 6x1x2 + 2x₁x3 + 2x2x3 Which of the following is the matrix of this quadratic form? 0 6:1 0 1 0 0 62 224 0 3 1 3 1 1 1 1 4 2 62 0 1 2 0 0 2 2 3 3 1 1 1 1 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 12E
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The quadratic form Q: R³ → R is defined by
Q(x₁, x₂, x3) = x² + 4x² + 6x₁x₂ + 2x₁x3 + 2x₂x3 Which of the following is the matrix
of this quadratic form?
0
0
0
6 2
1 2
0 4
03 1
GHD
3 1 1
1 1 4
26
0
1
0
0 2
23
N N N
23 1
1 1
2
1 1
Transcribed Image Text:The quadratic form Q: R³ → R is defined by Q(x₁, x₂, x3) = x² + 4x² + 6x₁x₂ + 2x₁x3 + 2x₂x3 Which of the following is the matrix of this quadratic form? 0 0 0 6 2 1 2 0 4 03 1 GHD 3 1 1 1 1 4 26 0 1 0 0 2 23 N N N 23 1 1 1 2 1 1
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