\( \left|\begin{array}{lll}1 & 1 & 1 \\ a & b & c \\ a^{3} & b^{3} & c^{3}\end{array}\right|=(a-...

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If \( \left|\begin{array}{lll}a_{1} & b_{1} & c_{1} \\ a_{2} & b_{2} & c_{2} \\ a_{3} & b_{3} & .... If \( \left|\begin{array}{lll}a_{1} & b_{1} & c_{1} \\ a_{2} & b_{2} & c_{2} \\ a_{3} & b_{3} & ....
The determinant \( \left|\begin{array}{lll}1 & 1 & 1 \\ 1 & 2 & 3 \\ 1 & 3 & 6\end{array}\right|... The determinant \( \left|\begin{array}{lll}1 & 1 & 1 \\ 1 & 2 & 3 \\ 1 & 3 & 6\end{array}\right|...
Let \( D_{1}=\left|\begin{array}{ccc}a & b & a+b \\ c & d & c+d \\ a & b & a-b\end{array}\right|.... Let \( D_{1}=\left|\begin{array}{ccc}a & b & a+b \\ c & d & c+d \\ a & b & a-b\end{array}\right|....
Let \( P=\left[\begin{array}{lll}1 & 0 & 0 \\ 3 & 1 & 0 \\ 9 & 3 & ... Let \( P=\left[\begin{array}{lll}1 & 0 & 0 \\ 3 & 1 & 0 \\ 9 & 3 & ...
The value of the determinant \( \left|\begin{array}{lll}1 & a & a^{2}-b c \\ 1 & b & b^{2}-a c \.... The value of the determinant \( \left|\begin{array}{lll}1 & a & a^{2}-b c \\ 1 & b & b^{2}-a c \....
If \( A=\left[\begin{array}{ll}a & b \\ c & d\end{array}\right] \) (where \( b c \neq 0 \) ) sat.... If \( A=\left[\begin{array}{ll}a & b \\ c & d\end{array}\right] \) (where \( b c \neq 0 \) ) sat....
Let \( A=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1\end{array}\right] \) and ... Let \( A=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1\end{array}\right] \) and ...
The determinant \( \left|\begin{array}{lll}b_{1}+c_{1} & c_{1}+a_{1} & a_{1}+b_{1} \\ b_{2}+c_{2... The determinant \( \left|\begin{array}{lll}b_{1}+c_{1} & c_{1}+a_{1} & a_{1}+b_{1} \\ b_{2}+c_{2...