The value of the determinant \[\left| \,\begin{matrix} 0 & {{b}^{3}}-{{a}^{3}} & {{c}^{3}}-{{a}^{3}} \\ {{a}^{3}}-{{b}^{3}} & 0 & {{c}^{3}}-{{b}^{3}} \\ {{a}^{3}}-{{c}^{3}} & {{b}^{3}}-{{c}^{3}} & 0 \\ \end{matrix}\, \right|\] is equal to is equal to [J & K 2005]

\[-{{a}^{3}}+{{b}^{3}}+{{c}^{3}}\]

\[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}\]

\[{{a}^{3}}-{{b}^{3}}-{{c}^{3}}\]

The value of the determinant \[\left| \,\begin{matrix} 0 & {{b}

1.	The value of the determinant \[\left\| \,\begin{matrix} 0 & {{b}^{3}}-{{a}^{3}} & {{c}^{3}}-{{a}^{3}} \\ {{a}^{3}}-{{b}^{3}} & 0 & {{c}^{3}}-{{b}^{3}} \\ {{a}^{3}}-{{c}^{3}} & {{b}^{3}}-{{c}^{3}} & 0 \\ \end{matrix}\, \right\|\] is equal to is equal to [J & K 2005]
A.	\[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}\]
B.	\[{{a}^{3}}-{{b}^{3}}-{{c}^{3}}\]
C.	0
D.	\[-{{a}^{3}}+{{b}^{3}}+{{c}^{3}}\]
Answer» D. \[-{{a}^{3}}+{{b}^{3}}+{{c}^{3}}\]

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The value of the determinant \[\left| \,\begin{matrix} 0 & {{b}^{3}}-{{a}^{3}} & {{c}^{3}}-{{a}^{3}} \\ {{a}^{3}}-{{b}^{3}} & 0 & {{c}^{3}}-{{b}^{3}} \\ {{a}^{3}}-{{c}^{3}} & {{b}^{3}}-{{c}^{3}} & 0 \\ \end{matrix}\, \right|\] is equal to is equal to [J & K 2005]

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