# Some Operations

The first, second, and third rows of a determinant are denoted by

*R*_{1},*R*_{2}, and*R*_{3}respectively and the first, second, and third columns by*C*_{1},*C*_{2}, and*C*_{3}respectively.- The interchange of its
*i*th row and*j*th row is denoted by*R*â†”_{i}*R*._{j} - The interchange of
*i*th column and*j*th column is denoted by*C*â†”_{i}*C*._{j} - The addition of
*m*times the elements of*j*th row of the corresponding elements of*i*th row is denoted by*R*â†’_{i}*R*+_{i}*mR*._{j} - The addition of
*m*times the elements of*j*th column to the corresponding elements of*i*th column is denoted by*C*â†’_{i}*C*+_{i}*mC*._{j} - The addition of
*m*times the elements of*j*th row to*n*â€“times the elements of*i*th row is denoted by*R*â†’_{i}*nR*_{i}_{ }+*mR*._{j}