If \[{{\left| \,\begin{matrix} 4 & 1 \\ 2 & 1 \\ \end{matrix}\, \right|}^{2}}=\left| \,\begin{matrix} 3 & 2 \\ 1 & x \\ \end{matrix}\, \right|-\left| \,\begin{matrix} x & 3 \\ -2 & 1 \\ \end{matrix}\, \right|\], then x = [RPET 1996]

If \[{{\left| \,\begin{matrix} 4 & 1 \\ 2 & 1 \\ \end{ma

1.	If \[{{\left\| \,\begin{matrix} 4 & 1 \\ 2 & 1 \\ \end{matrix}\, \right\|}^{2}}=\left\| \,\begin{matrix} 3 & 2 \\ 1 & x \\ \end{matrix}\, \right\|-\left\| \,\begin{matrix} x & 3 \\ -2 & 1 \\ \end{matrix}\, \right\|\], then x = [RPET 1996]
A.	-14
B.	2
C.	6
D.	7
Answer» D. 7

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If \[{{\left| \,\begin{matrix} 4 & 1 \\ 2 & 1 \\ \end{matrix}\, \right|}^{2}}=\left| \,\begin{matrix} 3 & 2 \\ 1 & x \\ \end{matrix}\, \right|-\left| \,\begin{matrix} x & 3 \\ -2 & 1 \\ \end{matrix}\, \right|\], then x = [RPET 1996]

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