Q31Section B (Section B)31 of 60

Solutions of a symmetric two by two linear system

For two nonzero real numbers $a$ and $b$ , consider the system of linear equations

$\begin{bmatrix}a&b\\b&a\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}b/2\\a/2\end{bmatrix}.$

Which of the following statements is (are) TRUE?

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.

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