Reduce the quadratic form to canonical form, \(3x_1^2+ 2x_2^2+8x_{12}+8x_{23}+8x_{31}=0\).
Posted: Thu Jul 14, 2022 9:41 am
a) \(\begin{bmatrix}3 & 4 & 4 \\4 & 0 & 4 \\ 4 & 4 & 2\end{bmatrix} \)
b) \(\begin{bmatrix}3 & 4 & 4 \\4 & 2 & 0 \\ 4 & 4 & 0\end{bmatrix} \)
c) \(\begin{bmatrix}3 & 4 & 4 \\4 & 2 & 4 \\ 4 & 4 & 0\end{bmatrix} \)
d) \(\begin{bmatrix}3 & 4 & 0 \\4 & 2 & 4 \\ 4 & 4 & 0\end{bmatrix} \)
b) \(\begin{bmatrix}3 & 4 & 4 \\4 & 2 & 0 \\ 4 & 4 & 0\end{bmatrix} \)
c) \(\begin{bmatrix}3 & 4 & 4 \\4 & 2 & 4 \\ 4 & 4 & 0\end{bmatrix} \)
d) \(\begin{bmatrix}3 & 4 & 0 \\4 & 2 & 4 \\ 4 & 4 & 0\end{bmatrix} \)