If \[\left| \,\begin{matrix} {{x}^{2}}+x & x+1 & x-2 \\ 2{{x}^{2}}+3x-1 & 3x & 3x-3 \\ {{x}^{2}}+2x+3 & 2x-1 & 2x-1 \\ \end{matrix}\, \right|=Ax-12\], then the value of A is [IIT 1982]

If \[\left| \,\begin{matrix} {{x}^{2}}+x & x+1 & x-2 \\ 2{

1.	If \[\left\| \,\begin{matrix} {{x}^{2}}+x & x+1 & x-2 \\ 2{{x}^{2}}+3x-1 & 3x & 3x-3 \\ {{x}^{2}}+2x+3 & 2x-1 & 2x-1 \\ \end{matrix}\, \right\|=Ax-12\], then the value of A is [IIT 1982]
A.	12
B.	24
C.	-12
D.	-24
Answer» C. -12

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If \[\left| \,\begin{matrix} {{x}^{2}}+x & x+1 & x-2 \\ 2{{x}^{2}}+3x-1 & 3x & 3x-3 \\ {{x}^{2}}+2x+3 & 2x-1 & 2x-1 \\ \end{matrix}\, \right|=Ax-12\], then the value of A is [IIT 1982]

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