Consider the real symmetric matrix A = (aij) given by A = beginpmatrix 3 & 1 & 1 1 & 0 & 2 1 & 2 & 0 endpmatrix. Consider the set S = x = (x1, x2, x3) in R^3 : sumi=1^3 sumj=1^3 aij xi xj = 1. Which of the following statements is/are correct?

Q51Section ST (Statistics (Q11–Q65))51 of 65

Level set of an indefinite quadratic form

Consider the real symmetric matrix $A = (a_{ij})$ given by $A = \begin{pmatrix} 3 & 1 & 1 \ 1 & 0 & 2 \ 1 & 2 & 0 \end{pmatrix}$ . Consider the set $S = \{x = (x_1, x_2, x_3) \in \mathbb{R}^3 : \sum_{i=1}^3 \sum_{j=1}^3 a_{ij} x_i x_j = 1\}$ . Which of the following statements is/are correct?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

Keyboard: A–D answer · S solution · ←/→ previous/next