Find the Matrix of the Quadratic Form $$6 x _ { 1 } x _ { 2 } - 18 x _ { 1 } x _ { 3 } + 18 x _ { 2 } x _ { 3 }$$

question 8

Multiple Choice

Find the matrix of the quadratic form.
- $$6 x _ { 1 } x _ { 2 } - 18 x _ { 1 } x _ { 3 } + 18 x _ { 2 } x _ { 3 }$$

• A)
• \(\left[ \begin{array} { r r r } 0 & 6 & - 18 \\ 6 & 0 & 18 \\ - 18 & 18 & 0 \end{array} \right]\)
• B)
• \(\left[\begin{array}{rrr}
• 3 & 0 & 0 \\
• 0 & -9 & 0 \\
• 0 & 0 & 9
• \end{array}\right]\)
• C)
• \(\left[\begin{array}{rrr}
• 0 & 3 & -9 \\
• 3 & 0 & 9 \\
• -9 & 9 & 0
• \end{array}\right]\)
• D)
• \[\left[ \begin{array} { r r r }
• 1 & 3 & - 9 \\
• 3 & 1 & 9 \\
• - 9 & 9 & 1
• \end{array} \right]\]

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