If \([1\,\,\,{-1}\,\,\,\,x]\left[\begin{matrix}0&1&-1\\2&1&3\\1&1&1\e

1.	If \([1\,\,\,{-1}\,\,\,\,x]\left[\begin{matrix}0&1&-1\\2&1&3\\1&1&1\end{matrix}\right]\, \left[\begin{matrix}0\\1\\1\end{matrix}\right] =0\), find x.
Answer» \([1\,\,\,{-1}\,\,\,\,x]\left[\begin{matrix}0&1&-1\\2&1&3\\1&1&1\end{matrix}\right]\, \left[\begin{matrix}0\\1\\1\end{matrix}\right] =0\) ⇒ \([1\,\,\,{-1}\,\,\,\,x]\left[\begin{matrix}0\\4\\2\end{matrix}\right] =0\) ⇒ - 4 + 2x = 0 ⇒ x = \(\frac42 = 2\)

If \([1\,\,\,{-1}\,\,\,\,x]\left[\begin{matrix}0&1&-1\\2&1&3\\1&1&1\end{matrix}\right]\, \left[\begin{matrix}0\\1\\1\end{matrix}\right] =0\), find x.

Answer»

\([1\,\,\,{-1}\,\,\,\,x]\left[\begin{matrix}0&1&-1\\2&1&3\\1&1&1\end{matrix}\right]\, \left[\begin{matrix}0\\1\\1\end{matrix}\right] =0\)

⇒ \([1\,\,\,{-1}\,\,\,\,x]\left[\begin{matrix}0\\4\\2\end{matrix}\right] =0\)

⇒ - 4 + 2x = 0

⇒ x = \(\frac42 = 2\)

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If \([1\,\,\,{-1}\,\,\,\,x]\left[\begin{matrix}0&amp;1&amp;-1\\2&amp;1&amp;3\\1&amp;1&amp;1\end{matrix}\right]\, \left[\begin{matrix}0\\1\\1\end{matrix}\right] =0\), find x.

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If \([1\,\,\,{-1}\,\,\,\,x]\left[\begin{matrix}0&1&-1\\2&1&3\\1&1&1\end{matrix}\right]\, \left[\begin{matrix}0\\1\\1\end{matrix}\right] =0\), find x.