MCQOPTIONS
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| 1. |
Find the symmetric matrix for the given quadratic form, (Q = 2x_1^2 + 2x_2^2 + 5x_3^2 3x_1 x_2+7x_3 x_1. ) |
| A. | ( begin{bmatrix} 1 & frac{-7}{2} & frac{3}{2} frac{-7}{2} & 2 & 0 frac{3}{2} & 0 & frac{5}{2} end{bmatrix} ) |
| B. | ( begin{bmatrix} 1 & frac{-3}{2} & frac{7}{2} frac{-3}{2} & 2 & 0 frac{7}{2} & 0 & frac{5}{2} end{bmatrix} ) |
| C. | ( begin{bmatrix} 1 & frac{3}{2} & frac{-7}{2} frac{3}{2} & 2 & 0 - frac{7}{2} & 0 & frac{5}{2} end{bmatrix} ) |
| D. | ( begin{bmatrix} 1 & frac{-3}{2} & frac{7}{2} frac{-3}{2} & 2 & 0 frac{7}{2} & 0 & 5 end{bmatrix} ) |
| Answer» C. ( begin{bmatrix} 1 & frac{3}{2} & frac{-7}{2} frac{3}{2} & 2 & 0 - frac{7}{2} & 0 & frac{5}{2} end{bmatrix} ) | |